
Time bar (total: 9.1s)
| 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 19 to 13 computations (31.6% saved)
| 991.0ms | 8 256× | 0 | valid |
ival-mult: 203.0ms (46% of total)ival-pow2: 85.0ms (19.3% of total)ival-add: 78.0ms (17.7% of total)ival-sub: 56.0ms (12.7% of total)exact: 8.0ms (1.8% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 58 | (4.484635586766578e-113 3.696712144805791e+267) | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 51 | (1.0492942060272504e-256 -3.261349593485842e-261) | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| 0 | 13 | (-9.334010149035472e+267 -2.4777834146529996e+261) | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 12 | (1.0492942060272504e-256 -3.261349593485842e-261) | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 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 b b))) | nan-rescue | 58 | 0 |
| ↳ | (*.f64 b b) | overflow | 58 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 165 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 111 | |
| ↳ | (*.f64 b b) | overflow | 58 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 b b)) | overflow | 58 | |
-.f64 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) | cancellation | 51 | 0 |
+.f64 | (+.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 13 | 0 |
| ↳ | (*.f64 a a) | overflow | 66 | |
| ↳ | (*.f64 b b) | overflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 109 | 147 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 109 | 0 | 147 |
| number | freq |
|---|---|
| 0 | 147 |
| 1 | 96 |
| 2 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 45.0ms | 512× | 0 | valid |
Compiled 213 to 64 computations (70% saved)
ival-mult: 12.0ms (45.5% of total)ival-add: 5.0ms (19% of total)ival-pow2: 5.0ms (19% of total)ival-sub: 2.0ms (7.6% of total)ival-true: 1.0ms (3.8% of total)exact: 1.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 19 974× | lower-fma.f64 |
| 19 974× | lower-fma.f32 |
| 2 982× | lower-*.f32 |
| 2 976× | lower-*.f64 |
| 2 792× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 87 |
| 1 | 78 | 87 |
| 2 | 193 | 85 |
| 3 | 610 | 85 |
| 4 | 2137 | 85 |
| 5 | 5804 | 85 |
| 0 | 12 | 17 |
| 0 | 19 | 17 |
| 1 | 32 | 17 |
| 2 | 50 | 17 |
| 3 | 143 | 17 |
| 4 | 426 | 17 |
| 5 | 1201 | 17 |
| 6 | 2310 | 17 |
| 7 | 5528 | 17 |
| 8 | 7578 | 17 |
| 0 | 8053 | 15 |
| 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 b b))) #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 b b))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(abs b)
(abs a)
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
Compiled 17 to 12 computations (29.4% 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 | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 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) (*.f64 b b))) |
| 19 974× | lower-fma.f64 |
| 19 974× | lower-fma.f32 |
| 2 982× | lower-*.f32 |
| 2 976× | lower-*.f64 |
| 2 792× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 0 | 19 | 64 |
| 1 | 32 | 64 |
| 2 | 50 | 64 |
| 3 | 143 | 64 |
| 4 | 426 | 64 |
| 5 | 1201 | 64 |
| 6 | 2310 | 64 |
| 7 | 5528 | 64 |
| 8 | 7578 | 64 |
| 0 | 8053 | 58 |
| 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 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) (*.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) (*.f64 b b)) |
#s(literal 4 binary64) |
#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 b b))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.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 b b))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (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 b b)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.0078125 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) | |
| accuracy | 0.026386279305326048 | (*.f64 #s(literal 4 binary64) (*.f64 b b)) | |
| accuracy | 0.09994125976844201 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 40.0ms | 256× | 0 | valid |
Compiled 66 to 14 computations (78.8% saved)
ival-pow2: 22.0ms (70.4% of total)ival-mult: 5.0ms (16% of total)ival-add: 2.0ms (6.4% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 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) (*.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) (*.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(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 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 (- (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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) (*.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) (*.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 b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (taylor inf b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (taylor inf b) (#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 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 (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (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 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<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 (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (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) (*.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) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a)) |
| 1.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a)) |
| 1.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a)) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a)) |
| 1.0ms | b | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a)) |
| 1× | egg-herbie |
| 24 056× | lower-fma.f64 |
| 24 056× | lower-fma.f32 |
| 5 040× | lower-*.f64 |
| 5 040× | lower-*.f32 |
| 2 602× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1416 |
| 1 | 240 | 1412 |
| 2 | 671 | 1380 |
| 3 | 3126 | 1296 |
| 4 | 7138 | 1296 |
| 0 | 8161 | 1160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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 b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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))))) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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))))) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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 a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(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 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(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 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
| Outputs |
|---|
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 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)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (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 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (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 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #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)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #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 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #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 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (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) |
| 9 970× | lower-fma.f64 |
| 9 970× | lower-fma.f32 |
| 5 048× | lower-*.f32 |
| 5 042× | lower-*.f64 |
| 3 006× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 0 | 19 | 56 |
| 1 | 77 | 56 |
| 2 | 604 | 56 |
| 0 | 8066 | 46 |
| 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 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) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)))) |
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(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 b (*.f64 b (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 a (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 b #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) b) b) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b (*.f64 (*.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) |
(*.f64 b (*.f64 #s(literal 4 binary64) b)) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
Compiled 22 228 to 1 800 computations (91.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 9 | 650 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 642 | 9 | 651 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
| 85.3% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) | |
| ▶ | 84.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| 76.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| ▶ | 64.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ▶ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
| 65.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| ▶ | 62.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
Compiled 244 to 178 computations (27% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 b (*.f64 a a)) | |
| cost-diff | 0 | (pow.f64 b #s(literal 3 binary64)) | |
| cost-diff | 6592 | (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 7552 | (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
| 20 106× | lower-fma.f32 |
| 20 090× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
| 3 522× | lower-*.f64 |
| 2 768× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 331 |
| 0 | 67 | 331 |
| 1 | 129 | 314 |
| 2 | 258 | 292 |
| 3 | 541 | 292 |
| 4 | 1020 | 292 |
| 5 | 1955 | 292 |
| 6 | 3891 | 292 |
| 7 | 5723 | 292 |
| 8 | 7858 | 292 |
| 0 | 8181 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
b |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 b (*.f64 a a)) |
(*.f64 a a) |
a |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(hypot.f64 b a) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
| Outputs |
|---|
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (hypot.f64 a b) #s(literal 4 binary64)) #s(literal 1 binary64))) |
b |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) |
(*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 b (*.f64 a a)) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) |
(hypot.f64 b a) |
(hypot.f64 a b) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 31.540453782293245 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) | |
| accuracy | 2.399652134514482 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| accuracy | 2.452361523717678 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| accuracy | 19.583948304209503 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| accuracy | 0.0078125 | (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 1.9498502268429607 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) | |
| accuracy | 4.292085691656673 | (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) | |
| accuracy | 29.980313349696754 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) | |
| accuracy | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 22.638103507587562 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) | |
| accuracy | 2.0195312500000004 | (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 7.477818681396663 | (*.f64 b (*.f64 a a)) |
| 90.0ms | 256× | 0 | valid |
Compiled 318 to 39 computations (87.7% saved)
ival-mult: 27.0ms (47.6% of total)ival-add: 12.0ms (21.2% of total)ival-pow: 6.0ms (10.6% of total)ival-hypot: 5.0ms (8.8% of total)ival-pow2: 5.0ms (8.8% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 b #s(literal 3 binary64)) (patch (pow.f64 b #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 a #s(literal 4 binary64)) (patch (pow.f64 a #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (patch (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch (fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 3 binary64)) (patch (pow.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 3 binary64)) (patch (pow.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 3 binary64)) (patch (pow.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 3) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 3 binary64)) (patch (pow.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (*.f64 b (*.f64 a a)) (patch (*.f64 b (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt 4 (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 4 (* 2 (pow a 2)))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* 2 (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | inf | ((+ (* b (+ (pow b 3) (* b (* a a)))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1)) (pow b 3) (* b (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (pow (sqrt (+ (* b b) (* a a))) 2) (+ (* (* b b) 2) (* a a))) |
| 4.0ms | b | @ | inf | ((+ (* b (+ (pow b 3) (* b (* a a)))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1)) (pow b 3) (* b (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (pow (sqrt (+ (* b b) (* a a))) 2) (+ (* (* b b) 2) (* a a))) |
| 3.0ms | b | @ | -inf | ((+ (* b (+ (pow b 3) (* b (* a a)))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1)) (pow b 3) (* b (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (pow (sqrt (+ (* b b) (* a a))) 2) (+ (* (* b b) 2) (* a a))) |
| 3.0ms | b | @ | 0 | ((+ (* b (+ (pow b 3) (* b (* a a)))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1)) (pow b 3) (* b (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (pow (sqrt (+ (* b b) (* a a))) 2) (+ (* (* b b) 2) (* a a))) |
| 2.0ms | a | @ | -inf | ((+ (* b (+ (pow b 3) (* b (* a a)))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1))) (+ (* (pow (sqrt (+ (* b b) (* a a))) 2) (* a a)) (+ (* 4 (* b b)) -1)) (pow b 3) (* b (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (pow (sqrt (+ (* b b) (* a a))) 2) (+ (* (* b b) 2) (* a a))) |
| 1× | egg-herbie |
| 27 350× | lower-fma.f64 |
| 27 350× | lower-fma.f32 |
| 4 480× | lower-*.f64 |
| 4 480× | lower-*.f32 |
| 3 984× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 5720 |
| 1 | 469 | 5664 |
| 2 | 1350 | 5535 |
| 3 | 4083 | 5116 |
| 4 | 7544 | 5116 |
| 0 | 8026 | 4664 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (* 2 (pow a 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(+ 4 (* 2 (pow a 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(pow a 3) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow a 2) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 4 (pow a 2))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (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)))) |
(* 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)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 4 (pow a 2))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (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)))) |
(* 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 b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
| Outputs |
|---|
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (pow a 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* b (+ 4 (* 2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 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) |
(*.f64 a a) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(*.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b) |
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(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
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(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
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(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
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(* (pow a 2) b) |
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(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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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(*.f64 b b) |
(pow b 2) |
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(pow b 2) |
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(pow b 2) |
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(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b 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))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
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(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)) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
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(* (pow b 2) (+ 4 (pow a 2))) |
(*.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b) |
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(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
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(* (pow b 2) (- (+ 4 (+ (/ (pow a 4) (pow b 2)) (pow a 2))) (/ 1 (pow b 2)))) |
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(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
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(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
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(*.f64 b b) |
(pow b 2) |
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(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b 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))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 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)) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (pow b 2))) 1) |
(fma.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (* (pow a 2) (+ (pow a 2) (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 a a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow 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)) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
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(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
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(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
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(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(pow a 4) |
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(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
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(pow a 4) |
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(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
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(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
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(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) a (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal 1 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
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(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #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 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) a (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal 1 binary64))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) a (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal 1 binary64))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) a (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal 1 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b)) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #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 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) 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))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(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 #s(literal 2 binary64) b) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
| 6 606× | lower-*.f32 |
| 6 592× | lower-*.f64 |
| 5 386× | lower-fma.f32 |
| 5 370× | lower-fma.f64 |
| 3 196× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 273 |
| 0 | 67 | 273 |
| 1 | 310 | 246 |
| 2 | 2591 | 246 |
| 0 | 9360 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 b (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b)) (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b)) (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64))))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -4 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 b (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) b) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64)))))) |
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(fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(fma.f64 (hypot.f64 a b) (*.f64 (hypot.f64 a b) (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) a) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))) |
(+.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (*.f64 (hypot.f64 a b) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (*.f64 b b) b) |
(*.f64 b (*.f64 b b)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3/2 binary64) (*.f64 (log.f64 b) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(*.f64 (*.f64 a b) a) |
(*.f64 (*.f64 a a) b) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)) |
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (+.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 b b) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 b b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 b b #s(literal -4 binary64)))) |
(+.f64 (*.f64 b b) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))) |
(*.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b b)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) |
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))) b) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) b) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 b (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b (*.f64 #s(literal 4 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b)) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 (*.f64 b b) b (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b)) |
(fma.f64 (*.f64 b b) b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(fma.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal 4 binary64) b)) |
(fma.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b)) |
(fma.f64 b (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 #s(literal 4 binary64) b)) |
(+.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b)) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
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(fma.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 a)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 a b) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 a b))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 a b))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (hypot.f64 a b)) (sqrt.f64 (pow.f64 (hypot.f64 a b) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (hypot.f64 a b)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 a b) (hypot.f64 a b)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (hypot.f64 a b))) |
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 b a))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (exp.f64 (log.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (exp.f64 (log.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 a a (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(sqrt.f64 (pow.f64 (hypot.f64 a b) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))) |
(fabs.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a b) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 b b) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
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(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 a a (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) |
(-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
Compiled 35 332 to 2 219 computations (93.7% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 7 | 958 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 956 | 11 | 967 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.3% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| ✓ | 84.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| 69.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) | |
| 44.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ✓ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
| ▶ | 46.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
| 45.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) | |
| ▶ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ▶ | 20.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| ▶ | 48.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
Compiled 207 to 166 computations (19.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) | |
| cost-diff | 704 | (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) | |
| cost-diff | 832 | (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) | |
| cost-diff | 0 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) | |
| cost-diff | -5504 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| cost-diff | 0 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 17 632× | lower-fma.f32 |
| 17 628× | lower-fma.f64 |
| 3 824× | lower-+.f32 |
| 3 820× | lower-+.f64 |
| 3 066× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 472 |
| 0 | 70 | 472 |
| 1 | 127 | 462 |
| 2 | 235 | 458 |
| 3 | 540 | 458 |
| 4 | 1075 | 458 |
| 5 | 2213 | 452 |
| 6 | 3985 | 444 |
| 0 | 8143 | 419 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) |
(+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
a |
#s(literal 2 binary64) |
(*.f64 b b) |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) b) b) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) b) b) |
(+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
a |
#s(literal 2 binary64) |
(*.f64 b b) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.294085079602313 | (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) | |
| accuracy | 6.118256004274753 | (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) | |
| accuracy | 6.415505821783142 | (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) | |
| accuracy | 29.980313349696754 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) | |
| accuracy | 1.9498502268429607 | (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) | |
| accuracy | 4.292085691656673 | (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) | |
| accuracy | 24.639367153962237 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) | |
| accuracy | 29.980313349696754 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 0.11166000976844201 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 31.540453782293245 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| accuracy | 22.638103507587562 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) | |
| accuracy | 31.26599076657087 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) | |
| accuracy | 0.026386279305326048 | (*.f64 #s(literal 4 binary64) (*.f64 b b)) | |
| accuracy | 2.399652134514482 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| accuracy | 2.452361523717678 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| accuracy | 17.450678250186417 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
| 102.0ms | 256× | 0 | valid |
Compiled 334 to 34 computations (89.8% saved)
ival-add: 43.0ms (52.2% of total)ival-mult: 31.0ms (37.6% of total)ival-div: 3.0ms (3.6% of total)ival-pow2: 3.0ms (3.6% of total)ival-sub: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) (patch (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) (patch (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) (patch #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) (patch (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow a 4) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) (taylor 0 b) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* 2 (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 2 (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 2 (pow b 2)) (pow a 2))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (taylor inf a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (taylor inf a) (#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 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 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) (patch #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) (patch #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* a (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) (patch (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) (patch (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) (patch (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) (patch (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) (patch (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<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) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (patch (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b))) |
| 3.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b))) |
| 3.0ms | b | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b))) |
| 2.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b))) |
| 2.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b))) |
| 1× | egg-herbie |
| 16 006× | lower-fma.f64 |
| 16 006× | lower-fma.f32 |
| 4 334× | lower-*.f64 |
| 4 334× | lower-*.f32 |
| 3 744× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 6742 |
| 1 | 539 | 6674 |
| 2 | 1636 | 6551 |
| 3 | 4505 | 6204 |
| 4 | 7062 | 6204 |
| 0 | 8074 | 5619 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (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)) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (* 2 (pow a 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(+ 4 (* 2 (pow a 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(* a (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(pow a 3) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(/ (pow b 4) a) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(/ (pow b 4) (pow a 2)) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(/ (pow b 4) a) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(/ (pow b 4) (pow a 2)) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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)) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(/ (* (pow b 2) (+ 4 (pow b 2))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) (pow a 2)) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* 2 (* a (pow b 2))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
| Outputs |
|---|
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 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) a) #s(literal 2 binary64)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* b (+ 4 (* 2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(* a (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 b b)) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (fma.f64 (/.f64 b a) b (*.f64 #s(literal 2 binary64) a))) (*.f64 b b)) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (fma.f64 (/.f64 b a) b (*.f64 #s(literal 2 binary64) a))) (*.f64 b b)) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (fma.f64 (/.f64 b a) b (*.f64 #s(literal 2 binary64) a))) (*.f64 b b)) |
(* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) b) b) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 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))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 4) |
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(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
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(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
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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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
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(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(/ (pow b 4) a) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) a) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
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(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
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(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
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(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
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(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (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 (/ 1 (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
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(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
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(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 (pow b 2)) |
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(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(/ (pow b 4) (pow a 2)) |
(/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a) |
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(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
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(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
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(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
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(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
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(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
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(* (pow b 2) (+ 4 (pow b 2))) |
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(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
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(pow a 4) |
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(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(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))) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 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))) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
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(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
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(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
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(* 2 (* a (pow b 2))) |
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(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
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(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(pow a 4) |
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 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 3 binary64))) |
(* (pow a 3) (+ 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 3 binary64))) |
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(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (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) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 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 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal 2 binary64) b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) 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))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal 2 binary64) b (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 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))))) |
(*.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))))) |
(*.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) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64)) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) |
| 4 618× | lower-*.f32 |
| 4 596× | lower-*.f64 |
| 4 058× | lower-/.f32 |
| 4 054× | lower-/.f64 |
| 2 824× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 410 |
| 0 | 70 | 406 |
| 1 | 270 | 390 |
| 2 | 2057 | 390 |
| 0 | 8143 | 357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)) |
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(*.f64 (*.f64 b b) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64))) (*.f64 b b))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64))) (*.f64 b b)) (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(fma.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) b) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) b) (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a))) |
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a))) |
Compiled 14 614 to 1 133 computations (92.2% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 665 | 3 | 668 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 667 | 12 | 679 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.3% | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
| ✓ | 84.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| ▶ | 69.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| ▶ | 44.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ✓ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
| 59.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64))) b) b)) | |
| ✓ | 46.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
| ▶ | 45.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
| ✓ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ✓ | 20.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| ▶ | 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
Compiled 212 to 164 computations (22.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) | |
| cost-diff | 0 | #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) | |
| cost-diff | 0 | #s(approx (+ (* b b) 4) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
| 19 998× | lower-fma.f32 |
| 19 990× | lower-fma.f64 |
| 4 490× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 2 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 568 |
| 0 | 77 | 568 |
| 1 | 140 | 562 |
| 2 | 235 | 562 |
| 3 | 523 | 562 |
| 4 | 960 | 562 |
| 5 | 1962 | 562 |
| 6 | 3853 | 554 |
| 7 | 6579 | 554 |
| 0 | 8293 | 531 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
#s(approx (+ (* b b) 4) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) |
(*.f64 b b) |
b |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) |
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) |
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) |
(*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) |
#s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) |
(*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b) |
(*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
a |
| Outputs |
|---|
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
#s(approx (+ (* b b) 4) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b))) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) |
(*.f64 b b) |
b |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) |
(*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) |
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)) |
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) |
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b a))) a))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b a))) a)) |
(*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) |
(*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b a))) a) |
#s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) |
#s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b a)) |
(*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.7377150908029986 | (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) | |
| accuracy | 4.294085079602313 | (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) | |
| accuracy | 19.51093567476819 | #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) | |
| accuracy | 29.980313349696754 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) | |
| accuracy | 2.399652134514482 | (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) | |
| accuracy | 2.452361523717678 | (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) | |
| accuracy | 19.583948304209503 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) | |
| accuracy | 26.38787325544404 | #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) | |
| accuracy | 1.9498502268429607 | (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) | |
| accuracy | 4.292085691656673 | (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) | |
| accuracy | 29.980313349696754 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) | |
| accuracy | 36.951331050787125 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) | |
| accuracy | 0 | (*.f64 b b) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 22.638103507587562 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 30.18149295135679 | #s(approx (+ (* b b) 4) #s(literal 4 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) | |
| accuracy | 2.399652134514482 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| accuracy | 2.452361523717678 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| accuracy | 17.450678250186417 | #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
| 161.0ms | 256× | 0 | valid |
Compiled 355 to 38 computations (89.3% saved)
ival-mult: 89.0ms (65.7% of total)ival-add: 38.0ms (28.1% of total)ival-div: 3.0ms (2.2% of total)ival-pow2: 3.0ms (2.2% of total)ival-sub: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (patch #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) (patch (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) (patch (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (patch #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) (patch (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) (patch (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) (patch #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (patch #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) (patch #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) (patch (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) (patch (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) (patch (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) (patch (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* a (pow b 2))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) (patch #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) (patch #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) (patch #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) (taylor -inf a) (#s(alt #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) (patch #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 3) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) (patch (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) (patch (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (patch (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (patch #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (patch #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (patch #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (patch #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | ((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (+ (* (* b b) 2) (* a a)) (/ (+ (* b b) 4) a)) |
| 2.0ms | b | @ | -inf | ((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (+ (* (* b b) 2) (* a a)) (/ (+ (* b b) 4) a)) |
| 2.0ms | b | @ | 0 | ((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (+ (* (* b b) 2) (* a a)) (/ (+ (* b b) 4) a)) |
| 2.0ms | a | @ | -inf | ((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (+ (* (* b b) 2) (* a a)) (/ (+ (* b b) 4) a)) |
| 2.0ms | a | @ | 0 | ((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) a) (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (+ (* (* b b) 2) (* a a)) (/ (+ (* b b) 4) a)) |
| 1× | egg-herbie |
| 20 596× | lower-fma.f64 |
| 20 596× | lower-fma.f32 |
| 4 638× | lower-*.f64 |
| 4 638× | lower-*.f32 |
| 3 338× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 7716 |
| 1 | 577 | 7660 |
| 2 | 1730 | 7507 |
| 3 | 5163 | 6932 |
| 0 | 8216 | 6248 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(- (pow a 4) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (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)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (* 2 (pow a 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(+ 4 (* 2 (pow a 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(pow a 3) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) |
(* a (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(* (pow b 2) (+ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (/ (pow b 2) a))) |
(pow a 3) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(pow a 2) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(pow a 2) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(/ 4 a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 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)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(/ (pow b 4) a) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 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)))) |
(* 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)))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 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)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (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 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(/ (pow b 4) a) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (+ (/ 1 a) (/ (* a (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* 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)))) |
(* 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)))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (pow b 4) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(/ (* (pow b 2) (+ 4 (pow b 2))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(/ (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* a (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(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 a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* a (pow b 2))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(* -1 (* (pow a 3) (- (* -2 (/ (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 a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
(/ (+ 4 (pow b 2)) a) |
| Outputs |
|---|
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(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 a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64)) |
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (-.f64 (pow.f64 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) a) #s(literal 2 binary64)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* b (+ 4 (* 2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64))) |
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(/ (pow b 4) a) |
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(*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (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) |
(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))))) |
(*.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))))) |
(*.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 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 b b) a) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(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))))) |
(*.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))))) |
(*.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 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
| 4 418× | lower-*.f32 |
| 4 396× | lower-*.f64 |
| 4 220× | lower-/.f32 |
| 4 218× | lower-/.f64 |
| 3 208× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 520 |
| 0 | 77 | 520 |
| 1 | 300 | 514 |
| 2 | 2201 | 514 |
| 0 | 8128 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(*.f64 b b) |
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)) |
#s(approx (+ (* b b) 4) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b) |
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a) |
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a)) |
(*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a) |
#s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) |
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) |
(pow.f64 (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal -1 binary64)))) (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b b #s(literal -4 binary64)) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 (*.f64 a (fma.f64 b b #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (neg.f64 (*.f64 a (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) a)) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) a)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 a (fma.f64 b b #s(literal -4 binary64)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) (neg.f64 a)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b b #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (neg.f64 a))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (fma.f64 b b #s(literal -4 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 a (fma.f64 b b #s(literal -4 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b #s(literal -4 binary64))) a) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 b b #s(literal -4 binary64))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
Compiled 18 119 to 1 595 computations (91.2% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 851 | 3 | 854 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 854 | 12 | 866 |
| Status | Accuracy | Program |
|---|---|---|
| 84.2% | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))) | |
| 85.3% | (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64)))) | |
| ✓ | 69.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| ✓ | 44.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ✓ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
| ✓ | 46.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
| ✓ | 45.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
| ✓ | 50.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ✓ | 20.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| ✓ | 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
| 42.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 #s(approx (/ (+ (* b b) 4) a) (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))) b) b)) a))) |
Compiled 440 to 204 computations (53.6% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 #s(approx (/ (+ (* b b) 4) a) (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))) b) b)) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #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 b b))) #s(literal 1 binary64)) |
6 calls:
| 13.0ms | (*.f64 b b) |
| 8.0ms | a |
| 8.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 7.0ms | b |
| 6.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 99.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 99.9% | 1 | (*.f64 a a) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 40 to 32 computations (20% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 #s(approx (/ (+ (* b b) 4) a) (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))) b) b)) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) a) a #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) a) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64)))) |
6 calls:
| 12.0ms | (*.f64 a a) |
| 8.0ms | b |
| 6.0ms | a |
| 6.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | a |
| 98.2% | 2 | b |
| 85.3% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 85.3% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 98.5% | 2 | (*.f64 a a) |
| 98.2% | 2 | (*.f64 b b) |
Compiled 40 to 32 computations (20% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 #s(approx (* (* (+ (/ (/ (+ (* b b) 4) a) a) 2) (* b b)) a) (*.f64 (*.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) b) b)) a))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (*.f64 a a) |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | a |
| 98.4% | 2 | (*.f64 a a) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
4 calls:
| 8.0ms | a |
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| 3.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | b |
| 98.0% | 2 | (*.f64 b b) |
| 97.9% | 2 | a |
| 97.9% | 2 | (*.f64 a a) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
4 calls:
| 10.0ms | (*.f64 b b) |
| 4.0ms | b |
| 4.0ms | a |
| 3.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | a |
| 97.9% | 2 | (*.f64 a a) |
| 97.9% | 2 | b |
| 97.9% | 2 | (*.f64 b b) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
4 calls:
| 6.0ms | (*.f64 b b) |
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | b |
| 96.0% | 2 | (*.f64 b b) |
| 95.9% | 2 | a |
| 95.9% | 2 | (*.f64 a a) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
4 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 a a) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | a |
| 95.9% | 2 | (*.f64 a a) |
| 78.7% | 3 | b |
| 76.9% | 2 | (*.f64 b b) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
4 calls:
| 2.0ms | a |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 2.0ms | (*.f64 a a) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 69.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 82.8% | 2 | a |
| 82.8% | 2 | (*.f64 a a) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
6 calls:
| 5.0ms | a |
| 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 b b))) |
| 1.0ms | (*.f64 a a) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 44.1% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 44.1% | 1 | (*.f64 b b) |
| 44.1% | 1 | b |
| 44.1% | 1 | a |
| 44.1% | 1 | (*.f64 a a) |
Compiled 40 to 32 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
6 calls:
| 2.0ms | a |
| 1.0ms | b |
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.0% | 1 | a |
| 20.0% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 20.0% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 20.0% | 1 | (*.f64 a a) |
| 20.0% | 1 | b |
| 20.0% | 1 | (*.f64 b b) |
Compiled 40 to 32 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.323938757151096e-16 | 2.1074802004450004e-7 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.323938757151096e-16 | 2.1074802004450004e-7 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.882588484314047e-13 | 7.468578487383134e-11 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0022978512222809173 | 868.6962342868882 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3031866725632174e+71 | 2.2515656407963966e+71 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.521496607705323e+19 | 1.6195212927044622e+31 |
| 11.0ms | 160× | 0 | valid |
Compiled 160 to 156 computations (2.5% saved)
ival-mult: 3.0ms (43.4% of total)ival-pow2: 2.0ms (28.9% of total)ival-sub: 1.0ms (14.5% of total)ival-add: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 6.521496607705323e+19 | 1.6195212927044622e+31 |
| 10.0ms | 144× | 0 | valid |
Compiled 140 to 156 computations (-11.4% saved)
ival-mult: 2.0ms (31.3% of total)ival-pow2: 2.0ms (31.3% of total)ival-sub: 1.0ms (15.6% of total)ival-add: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | *-rgt-identity-binary64-*.f64 |
| 2× | mul-1-neg-binary64-neg.f64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 537 |
| 1 | 96 | 537 |
| 2 | 101 | 537 |
| 3 | 110 | 537 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 a a) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 a a) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b))) |
(if (<=.f64 (*.f64 a a) #s(literal 100000000000000004764729344 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(if (<=.f64 (*.f64 a a) #s(literal 66000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -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) (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 a a) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 a a) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 b b) #s(literal 200000000000000008376305112842291591798286773328067656628685542361399296 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b))) |
(if (<=.f64 (*.f64 a a) #s(literal 100000000000000004764729344 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(if (<=.f64 (*.f64 a a) #s(literal 66000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| 27 350× | lower-fma.f64 |
| 27 350× | lower-fma.f32 |
| 24 056× | lower-fma.f64 |
| 24 056× | lower-fma.f32 |
| 20 596× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 7716 |
| 1 | 577 | 7660 |
| 2 | 1730 | 7507 |
| 3 | 5163 | 6932 |
| 0 | 8216 | 6248 |
| 0 | 47 | 410 |
| 0 | 70 | 406 |
| 1 | 270 | 390 |
| 2 | 2057 | 390 |
| 0 | 8143 | 357 |
| 0 | 79 | 1416 |
| 1 | 240 | 1412 |
| 2 | 671 | 1380 |
| 3 | 3126 | 1296 |
| 4 | 7138 | 1296 |
| 0 | 8161 | 1160 |
| 0 | 145 | 5720 |
| 1 | 469 | 5664 |
| 2 | 1350 | 5535 |
| 3 | 4083 | 5116 |
| 4 | 7544 | 5116 |
| 0 | 8026 | 4664 |
| 0 | 39 | 273 |
| 0 | 67 | 273 |
| 1 | 310 | 246 |
| 2 | 2591 | 246 |
| 0 | 9360 | 244 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 381 to 196 computations (48.6% saved)
(abs a)
(abs b)
Compiled 624 to 248 computations (60.3% saved)
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