
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 31 to 19 computations (38.7% saved)
| 809.0ms | 8 256× | 0 | valid |
ival-mult: 271.0ms (43.4% of total)ival-add: 179.0ms (28.6% of total)ival-pow2: 79.0ms (12.6% of total)ival-sub: 76.0ms (12.2% of total)exact: 10.0ms (1.6% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 26 512× | lower-fma.f64 |
| 26 512× | lower-fma.f32 |
| 4 188× | lower-+.f32 |
| 4 180× | lower-+.f64 |
| 3 330× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 149 |
| 1 | 154 | 147 |
| 2 | 653 | 145 |
| 3 | 2940 | 145 |
| 4 | 6883 | 145 |
| 0 | 18 | 29 |
| 0 | 30 | 29 |
| 1 | 63 | 29 |
| 2 | 178 | 29 |
| 3 | 552 | 29 |
| 4 | 1558 | 29 |
| 5 | 2836 | 29 |
| 6 | 6703 | 29 |
| 0 | 8091 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(abs b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 41 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 17 | 0 | - | 2 | (-7.152468621352572e+120 3.1143564411077147e-161) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) | nan-rescue | 61 | 0 |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 162 | |
| ↳ | (*.f64 a a) | overflow | 74 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 124 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) | overflow | 141 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 141 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 88 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 94 | |
| ↳ | (*.f64 a a) | overflow | 74 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 41 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 94 | |
| ↳ | (*.f64 a a) | overflow | 74 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 88 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 0 |
| - | 0 | 175 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 0 |
| - | 0 | 0 | 175 |
| number | freq |
|---|---|
| 0 | 175 |
| 1 | 60 |
| 2 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 338 to 76 computations (77.5% saved)
ival-mult: 14.0ms (42.4% of total)ival-add: 9.0ms (27.2% of total)ival-pow2: 5.0ms (15.1% of total)ival-sub: 4.0ms (12.1% of total)exact: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.3% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 31 to 18 computations (41.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| ✓ | cost-diff | 5440 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 26 512× | lower-fma.f64 |
| 26 512× | lower-fma.f32 |
| 4 188× | lower-+.f32 |
| 4 180× | lower-+.f64 |
| 3 330× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 0 | 30 | 136 |
| 1 | 63 | 136 |
| 2 | 178 | 136 |
| 3 | 552 | 136 |
| 4 | 1558 | 136 |
| 5 | 2836 | 136 |
| 6 | 6703 | 136 |
| 0 | 8091 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+.f64 #s(literal 3 binary64) a) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.4% | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 85.6% | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| ✓ | accuracy | 81.0% | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 30.0ms | 256× | 0 | valid |
Compiled 138 to 20 computations (85.5% saved)
ival-mult: 7.0ms (43.1% of total)ival-add: 4.0ms (24.6% of total)ival-sub: 2.0ms (12.3% of total)ival-pow2: 2.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))> |
#<alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))> |
#<alt (+.f64 (*.f64 a a) (*.f64 b b))> |
#<alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))> |
#<alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))> |
| Outputs |
|---|
#<alt (pow b 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (+ (* 12 (pow b 2)) (pow b 4))> |
#<alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))> |
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))> |
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))> |
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))> |
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (pow b 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* 3 (pow b 2))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))> |
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))> |
#<alt (* -1 (pow a 3))> |
#<alt (* (pow a 3) (- (/ 1 a) 1))> |
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))> |
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))> |
#<alt (* -1 (pow a 3))> |
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))> |
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))> |
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))> |
#<alt (* (pow a 2) (- 1 a))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* 3 (pow b 2))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) |
| 1.0ms | b | @ | 0 | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) |
| 0.0ms | a | @ | inf | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | b | @ | 0 | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | a | @ | 0 | (pow (+ (* a a) (* b b)) 2) |
| 1× | batch-egg-rewrite |
| 5 458× | lower-fma.f64 |
| 5 458× | lower-fma.f32 |
| 4 122× | lower-/.f64 |
| 4 122× | lower-/.f32 |
| 3 974× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 0 | 30 | 94 |
| 1 | 140 | 94 |
| 2 | 1251 | 94 |
| 0 | 8299 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))))) |
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(*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64))) (fma.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) (-.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) |
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a))) |
| 1× | egg-herbie |
| 19 992× | lower-fma.f64 |
| 19 992× | lower-fma.f32 |
| 4 374× | lower-+.f64 |
| 4 374× | lower-+.f32 |
| 3 756× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2222 |
| 1 | 599 | 2169 |
| 2 | 1845 | 2105 |
| 3 | 5761 | 2012 |
| 0 | 8475 | 1830 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* -1 (pow a 3)) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
| Outputs |
|---|
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* 3 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 3 binary64))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* -1 (pow a 3)) |
(*.f64 a (*.f64 a (neg.f64 a))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* -1 (pow a 3)) |
(*.f64 a (*.f64 a (neg.f64 a))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a)))) |
(* (pow a 2) (- 1 a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* 3 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 3 binary64))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* a (pow b 2)) |
(*.f64 b (*.f64 b a)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* a (pow b 2)) |
(*.f64 b (*.f64 b a)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)))) |
Compiled 59 977 to 2 604 computations (95.7% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 11 | 690 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 680 | 11 | 691 |
| Status | Accuracy | Program |
|---|---|---|
| 13.1% | (fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) | |
| 40.8% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) | |
| ▶ | 67.6% | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| ▶ | 71.7% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ▶ | 99.9% | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 90.6% | (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ▶ | 70.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
| 18.4% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) | |
| 67.7% | (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| 44.1% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| ▶ | 47.8% | (*.f64 a (*.f64 a (*.f64 a a))) |
Compiled 708 to 332 computations (53.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| 17 000× | lower-fma.f32 |
| 16 974× | lower-fma.f64 |
| 4 014× | lower--.f32 |
| 4 012× | lower--.f64 |
| 3 186× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 328 |
| 0 | 69 | 320 |
| 1 | 164 | 318 |
| 2 | 484 | 313 |
| 3 | 1411 | 313 |
| 4 | 3100 | 313 |
| 5 | 3752 | 313 |
| 6 | 6660 | 313 |
| 0 | 8191 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
b |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(neg.f64 a) |
#s(literal -1 binary64) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
#s(literal 4 binary64) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(*.f64 b b) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
b |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(neg.f64 a) |
#s(literal -1 binary64) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) |
#s(literal 4 binary64) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
a |
(*.f64 a (-.f64 #s(literal 1 binary64) a)) |
(-.f64 a (*.f64 a a)) |
(-.f64 #s(literal 1 binary64) a) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
b |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) |
(fma.f64 a a (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 b b) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 b (+.f64 a #s(literal 3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
| ✓ | accuracy | 87.9% | (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
| ✓ | accuracy | 81.0% | (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 100.0% | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 b b #s(literal 12 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | accuracy | 93.3% | (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
| 136.0ms | 230× | 0 | valid |
| 47.0ms | 19× | 1 | valid |
| 5.0ms | 7× | 2 | valid |
Compiled 381 to 45 computations (88.2% saved)
ival-mult: 61.0ms (48% of total)ival-add: 57.0ms (44.8% of total)ival-div: 4.0ms (3.1% of total)adjust: 3.0ms (2.4% of total)exact: 1.0ms (0.8% of total)ival-sub: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))> |
#<alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))> |
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))> |
#<alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))> |
#<alt (*.f64 a (*.f64 a (*.f64 a a)))> |
#<alt (*.f64 a (*.f64 a a))> |
#<alt (*.f64 a a)> |
#<alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))> |
#<alt (*.f64 b b)> |
#<alt (fma.f64 b b #s(literal 12 binary64))> |
#<alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))> |
#<alt (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))> |
#<alt (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))> |
#<alt (neg.f64 a)> |
#<alt (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))> |
#<alt (*.f64 b (+.f64 a #s(literal 3 binary64)))> |
| Outputs |
|---|
#<alt 4> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* a (- a 4)))> |
#<alt (+ 4 (* a (- a 4)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt 4> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (* -4 a)> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* -4 a)> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)> |
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)> |
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)> |
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))> |
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* b (+ 12 (pow b 2)))> |
#<alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))> |
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt -1> |
#<alt (- (* 12 (pow b 2)) 1)> |
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)> |
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt 12> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt -1> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))> |
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))> |
#<alt (+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))> |
#<alt (+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))> |
#<alt (/ 1 (pow a 4))> |
#<alt (/ (+ 1 (* 4 (/ 1 a))) (pow a 4))> |
#<alt (/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ 1 (pow a 4))> |
#<alt (/ (+ 1 (* 4 (/ 1 a))) (pow a 4))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 2 (pow b 2))) a)) 4) a))) (pow a 4))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4))> |
#<alt (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))> |
#<alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))> |
#<alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))> |
#<alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))> |
#<alt (/ 1 (pow b 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))> |
#<alt (/ 1 (pow b 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))> |
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* 3 (pow b 2))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))> |
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))> |
#<alt (* -1 (pow a 3))> |
#<alt (* (pow a 3) (- (/ 1 a) 1))> |
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))> |
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))> |
#<alt (* -1 (pow a 3))> |
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))> |
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))> |
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))> |
#<alt (* (pow a 2) (- 1 a))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* (pow b 2) (+ 3 a))> |
#<alt (* 3 (pow b 2))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* b (+ 3 a))> |
#<alt (* 3 b)> |
#<alt (+ (* 3 b) (* a b))> |
#<alt (+ (* 3 b) (* a b))> |
#<alt (+ (* 3 b) (* a b))> |
#<alt (* a b)> |
#<alt (* a (+ b (* 3 (/ b a))))> |
#<alt (* a (+ b (* 3 (/ b a))))> |
#<alt (* a (+ b (* 3 (/ b a))))> |
#<alt (* a b)> |
#<alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b))))> |
#<alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b))))> |
#<alt (* -1 (* a (+ (* -3 (/ b a)) (* -1 b))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | a | @ | inf | (+ (* 4 (neg a)) 4) |
| 1.0ms | b | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1.0ms | b | @ | 0 | (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) |
| 1.0ms | a | @ | 0 | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1.0ms | b | @ | inf | (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1))) |
| 1× | batch-egg-rewrite |
| 5 426× | lower-*.f32 |
| 5 410× | lower-*.f64 |
| 4 652× | lower-fma.f32 |
| 4 626× | lower-fma.f64 |
| 2 770× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 220 |
| 0 | 69 | 200 |
| 1 | 344 | 198 |
| 2 | 3076 | 198 |
| 0 | 8234 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 12 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(neg.f64 a) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) |
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(+.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64)) |
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))) (*.f64 a a)) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (*.f64 a a)) |
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))) |
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))) |
(*.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a)) |
(+.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)))) |
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(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))) |
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(pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
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(/.f64 (*.f64 b (fma.f64 a a #s(literal -9 binary64))) (+.f64 a #s(literal -3 binary64))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) b) (-.f64 (fma.f64 a a #s(literal 9 binary64)) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) b) (+.f64 a #s(literal -3 binary64))) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(*.f64 (+.f64 a #s(literal 3 binary64)) b) |
| 1× | egg-herbie |
| 11 054× | lower-fma.f64 |
| 11 054× | lower-fma.f32 |
| 6 034× | lower-*.f64 |
| 6 034× | lower-*.f32 |
| 3 674× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 426 | 5157 |
| 1 | 1381 | 4984 |
| 2 | 4744 | 4846 |
| 0 | 8219 | 4444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* -4 a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)) |
(+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4)) |
(/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* -1 (pow a 3)) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 2) (+ 3 a)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* b (+ 3 a)) |
(* 3 b) |
(+ (* 3 b) (* a b)) |
(+ (* 3 b) (* a b)) |
(+ (* 3 b) (* a b)) |
(* a b) |
(* a (+ b (* 3 (/ b a)))) |
(* a (+ b (* 3 (/ b a)))) |
(* a (+ b (* 3 (/ b a)))) |
(* a b) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) a)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 #s(literal -4 binary64) a))) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))))) |
(* b (+ 12 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* 2 (* (pow a 2) b)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))) a) a) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b))) |
(* 2 (* (pow a 2) b)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(*.f64 (*.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a))) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
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(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(*.f64 b b) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
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(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
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(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
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(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
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(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
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(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
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(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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(/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)) |
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
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(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
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(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
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(* 3 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 3 binary64))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 a a (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(* -1 (pow a 3)) |
(*.f64 (*.f64 a a) (neg.f64 a)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
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(* -1 (pow a 3)) |
(*.f64 (*.f64 a a) (neg.f64 a)) |
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(*.f64 (neg.f64 a) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (*.f64 a (*.f64 a a)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
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(* (pow a 2) (- 1 a)) |
(*.f64 a (-.f64 a (*.f64 a a))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
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(neg.f64 a) |
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(neg.f64 a) |
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(neg.f64 a) |
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(neg.f64 a) |
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(neg.f64 a) |
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(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
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(* (pow b 2) (+ 3 a)) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* 3 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 3 binary64))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) |
(* a (pow b 2)) |
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(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a)))) |
(* b (+ 3 a)) |
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(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
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(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* b (+ 3 a)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* 3 b) |
(*.f64 b #s(literal 3 binary64)) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(+ (* 3 b) (* a b)) |
(*.f64 b (+.f64 a #s(literal 3 binary64))) |
(* a b) |
(*.f64 a b) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
(* a (+ b (* 3 (/ b a)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
(* a b) |
(*.f64 a b) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
(* -1 (* a (+ (* -3 (/ b a)) (* -1 b)))) |
(*.f64 a (fma.f64 b (/.f64 #s(literal 3 binary64) a) b)) |
Compiled 83 707 to 2 652 computations (96.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 201 | 16 | 1 217 |
| Fresh | 5 | 1 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 210 | 18 | 1 228 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.6% | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
| 67.7% | (fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) | |
| 41.9% | (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) | |
| 51.8% | (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) | |
| 71.7% | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 71.4% | (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 55.1% | (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) | |
| ▶ | 75.4% | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ▶ | 99.2% | (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 51.8% | (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| 90.6% | (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64))) | |
| 47.9% | (pow.f64 a #s(literal 4 binary64)) | |
| 31.0% | (/.f64 (fma.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) | |
| 47.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) | |
| 47.8% | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| ▶ | 44.1% | (*.f64 b (*.f64 b (*.f64 b b))) |
| ✓ | 47.8% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ▶ | 24.7% | #s(literal -1 binary64) |
Compiled 487 to 283 computations (41.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b b)) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b b)) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| 16 238× | lower-fma.f32 |
| 16 218× | lower-fma.f64 |
| 3 050× | lower-*.f32 |
| 3 038× | lower-*.f64 |
| 2 842× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 169 |
| 0 | 48 | 162 |
| 1 | 105 | 150 |
| 2 | 247 | 146 |
| 3 | 669 | 146 |
| 4 | 1603 | 146 |
| 5 | 2523 | 146 |
| 6 | 3969 | 146 |
| 7 | 4944 | 146 |
| 8 | 6420 | 146 |
| 9 | 7773 | 146 |
| 0 | 8098 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
b |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 a) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
b |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a a) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| ✓ | accuracy | 93.3% | (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| 48.0ms | 241× | 0 | valid |
| 4.0ms | 11× | 1 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 197 to 33 computations (83.2% saved)
ival-mult: 20.0ms (56.5% of total)ival-add: 13.0ms (36.7% of total)adjust: 1.0ms (2.8% of total)exact: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))> |
#<alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))> |
#<alt (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))> |
#<alt (*.f64 b (*.f64 b b))> |
#<alt (*.f64 b (*.f64 b (*.f64 b b)))> |
#<alt (*.f64 b b)> |
#<alt (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))> |
#<alt (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))> |
#<alt (*.f64 a a)> |
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))> |
#<alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))> |
#<alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))> |
#<alt (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))> |
#<alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))> |
#<alt (*.f64 (*.f64 a a) (*.f64 a a))> |
| Outputs |
|---|
#<alt 4> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* a (- a 4)))> |
#<alt (+ 4 (* a (- a 4)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt 4> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (* -4 a)> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* -4 a)> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4))))> |
#<alt (- (pow b 4) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (pow b 4)) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (* -4 a))) (pow b 4)) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (/ 4 (pow a 2)) (/ (pow b 4) (pow a 4)))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 4 (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))) a))) a))))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt -1> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)> |
#<alt (* -4 (pow a 3))> |
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) 4))> |
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))> |
#<alt (* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))> |
#<alt (* -4 (pow a 3))> |
#<alt (* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))> |
#<alt (* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))> |
#<alt 4> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (+ 4 (* -4 a))> |
#<alt (* -4 a)> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* a (- (* 4 (/ 1 a)) 4))> |
#<alt (* -4 a)> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 4)> |
#<alt (+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4))))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 2) (+ 12 (pow b 2)))> |
#<alt (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 4 (pow b 2)) (* a (+ (* 2 (pow b 2)) (pow a 2))))) (* (pow b 2) (+ 12 (pow b 2))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 4))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2))))))> |
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))> |
#<alt (* b (+ 12 (pow b 2)))> |
#<alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))> |
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))> |
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))> |
#<alt (+ 12 (* a (+ 4 (* 2 a))))> |
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))> |
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))> |
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (+ (* 4 a) (pow b 2)))> |
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))> |
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))> |
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))> |
#<alt 12> |
#<alt (+ 12 (* 4 a))> |
#<alt (+ 12 (* a (+ 4 (* 2 a))))> |
#<alt (+ 12 (* a (+ 4 (* 2 a))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))> |
#<alt -1> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (+ (* b (* b (* b b))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) |
| 0.0ms | b | @ | 0 | (+ (* b (* b (* b b))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) |
| 0.0ms | b | @ | 0 | (+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (* (* a a) (* a a))) |
| 0.0ms | b | @ | 0 | (* b (* b b)) |
| 0.0ms | a | @ | 0 | (+ (* b (* b (* b b))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) |
| 1× | batch-egg-rewrite |
| 6 420× | lower-fma.f32 |
| 6 400× | lower-fma.f64 |
| 4 024× | lower-/.f64 |
| 4 024× | lower-/.f32 |
| 3 684× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 134 |
| 0 | 48 | 125 |
| 1 | 226 | 113 |
| 2 | 2022 | 113 |
| 0 | 8503 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 b (*.f64 b b)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(*.f64 a a) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
| Outputs |
|---|
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) |
(+.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) |
(+.f64 (*.f64 a #s(literal -4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(+.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)) |
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a #s(literal -4 binary64))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))) |
(fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) |
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 a #s(literal -16 binary64)))) (*.f64 a a)) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (*.f64 a a)) |
(fma.f64 (+.f64 (neg.f64 a) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))) (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (-.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)))) |
(/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (*.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))) |
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(/.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) (fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
| 1× | egg-herbie |
| 11 414× | lower-fma.f64 |
| 11 414× | lower-fma.f32 |
| 4 080× | lower-*.f64 |
| 4 080× | lower-*.f32 |
| 3 122× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2388 |
| 1 | 694 | 2338 |
| 2 | 2181 | 2275 |
| 3 | 5585 | 2238 |
| 0 | 8199 | 2045 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ 4 (* a (- a 4))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* -4 a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(pow b 4) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(- (pow b 4) 1) |
(- (+ (* 4 (pow a 2)) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ 4 (* -4 a))) (pow b 4)) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (/ 4 (pow a 2)) (/ (pow b 4) (pow a 4)))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 4 (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))) a))) a)))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(* -4 (pow a 3)) |
(* (pow a 3) (- (* 4 (/ 1 a)) 4)) |
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3))))) |
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3))))) |
(* -4 (pow a 3)) |
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a))))) |
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))))) |
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))))) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(+ 4 (* -4 a)) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* -4 a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)) |
(+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) |
(+ (* a (+ (* 4 (pow b 2)) (* a (+ (* 2 (pow b 2)) (pow a 2))))) (* (pow b 2) (+ 12 (pow b 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 3)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ (* (pow b 2) (+ 12 (pow b 2))) (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 3)))))) |
(* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2)))))) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
12 |
(+ 12 (* 4 a)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 a a (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -1 binary64))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(fma.f64 a a (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -1 binary64))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (pow b 4) 1) |
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (pow b 4)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* -4 a))) (pow b 4)) 1) |
(fma.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (- (+ 1 (+ (/ 4 (pow a 2)) (/ (pow b 4) (pow a 4)))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 4 (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)) #s(literal 4 binary64)) a)) a))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(* -4 (pow a 3)) |
(*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) |
(* (pow a 3) (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (fma.f64 #s(literal -4 binary64) (*.f64 a a) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))) |
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -4 (pow a 3)) |
(*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (fma.f64 #s(literal -4 binary64) (*.f64 a a) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)))) |
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a))) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) (pow a 4)) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4)) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))) |
(+ (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) (pow a 4)) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 #s(literal 12 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 #s(literal 12 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b))) #s(literal 1 binary64)))) |
(pow b 4) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 #s(literal 12 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (+.f64 #s(literal 12 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 4 (pow b 2)) (* a (+ (* 2 (pow b 2)) (pow a 2))))) (* (pow b 2) (+ 12 (pow b 2)))) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) (pow a 3))) (* 2 (/ (pow b 2) (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (*.f64 a (*.f64 a a))))) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)))) |
(* b (+ 12 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) |
(* 2 (* (pow a 2) b)) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(*.f64 a (*.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))) |
(* 2 (* (pow a 2) b)) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) b))) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(*.f64 a (*.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a)))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 b (fma.f64 b (fma.f64 a (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)))) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
Compiled 24 295 to 1 728 computations (92.9% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 7 | 737 |
| Fresh | 2 | 10 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 734 | 21 | 755 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 40.6% | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
| 67.7% | (fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) | |
| ▶ | 41.9% | (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
| 51.8% | (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) | |
| 71.7% | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 71.4% | (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 55.1% | (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) | |
| ▶ | 75.3% | (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| 56.0% | (fma.f64 b (*.f64 b (*.f64 b b)) (/.f64 (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))) | |
| ▶ | 75.1% | (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
| 56.8% | (fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| ▶ | 51.8% | (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| 59.6% | (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) | |
| 47.9% | (pow.f64 a #s(literal 4 binary64)) | |
| 68.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))) | |
| 47.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) | |
| 47.8% | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| ▶ | 44.2% | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
| ✓ | 44.1% | (*.f64 b (*.f64 b (*.f64 b b))) |
| ✓ | 47.8% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | 24.7% | #s(literal -1 binary64) |
Compiled 564 to 311 computations (44.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b b)) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal 12 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| 662× | lower-fma.f32 |
| 646× | lower-fma.f64 |
| 624× | lower-*.f32 |
| 600× | lower-*.f64 |
| 390× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 192 |
| 0 | 54 | 170 |
| 1 | 102 | 154 |
| 2 | 187 | 154 |
| 3 | 428 | 154 |
| 4 | 831 | 154 |
| 5 | 980 | 154 |
| 6 | 981 | 154 |
| 7 | 986 | 154 |
| 8 | 991 | 154 |
| 9 | 999 | 154 |
| 10 | 999 | 154 |
| 0 | 999 | 153 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
b |
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
b |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(*.f64 b (*.f64 b b)) |
#s(literal -144 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) |
#s(literal 1 binary64) |
(fma.f64 b b #s(literal -12 binary64)) |
#s(literal -12 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) |
b |
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
b |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
a |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 (*.f64 b b) (fma.f64 b b #s(literal -12 binary64))) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(*.f64 b (*.f64 b b)) |
#s(literal -144 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) |
#s(literal 1 binary64) |
(fma.f64 b b #s(literal -12 binary64)) |
#s(literal -12 binary64) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) |
| ✓ | accuracy | 70.0% | (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (fma.f64 b b #s(literal 12 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal 12 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| ✓ | accuracy | 93.3% | (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
| 41.0ms | 233× | 0 | valid |
| 8.0ms | 11× | 4 | valid |
| 6.0ms | 11× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 211 to 35 computations (83.4% saved)
ival-mult: 23.0ms (60.5% of total)ival-add: 10.0ms (26.3% of total)adjust: 3.0ms (7.9% of total)ival-div: 2.0ms (5.3% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a)))> |
#<alt (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))> |
#<alt (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 a a))> |
#<alt (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))> |
#<alt (*.f64 b #s(literal 12 binary64))> |
#<alt (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))> |
#<alt (*.f64 b (fma.f64 b b #s(literal 12 binary64)))> |
#<alt (fma.f64 b b #s(literal 12 binary64))> |
#<alt (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))> |
#<alt (*.f64 b (*.f64 b b))> |
#<alt (*.f64 b b)> |
#<alt (*.f64 a (*.f64 a (*.f64 a a)))> |
#<alt (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))> |
#<alt (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))> |
#<alt (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))> |
#<alt (*.f64 (*.f64 a a) (*.f64 a a))> |
#<alt (*.f64 a (*.f64 a a))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))> |
| Outputs |
|---|
#<alt (pow a 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (pow b 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))> |
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))> |
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))> |
#<alt (pow b 3)> |
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))> |
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))> |
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* 2 (* (pow a 2) b))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))> |
#<alt (* 2 (pow a 2))> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (+ (* 2 (pow a 2)) (pow b 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt (* 2 (pow a 2))> |
#<alt -1> |
#<alt (- (* 12 (pow b 2)) 1)> |
#<alt (- (* 12 (pow b 2)) 1)> |
#<alt (- (* 12 (pow b 2)) 1)> |
#<alt (* 12 (pow b 2))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* 12 (pow b 2))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 b)> |
#<alt (* 12 (pow b 2))> |
#<alt (* (pow b 2) (+ 12 (pow b 2)))> |
#<alt (* (pow b 2) (+ 12 (pow b 2)))> |
#<alt (* (pow b 2) (+ 12 (pow b 2)))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* 12 b)> |
#<alt (* b (+ 12 (pow b 2)))> |
#<alt (* b (+ 12 (pow b 2)))> |
#<alt (* b (+ 12 (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt 12> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow a 4)> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (+ (pow a 4) (pow b 4))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4))))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt 12> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (+ 12 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt -1> |
#<alt (- (* 12 (pow b 2)) 1)> |
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)> |
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt -144> |
#<alt (- (pow b 4) 144)> |
#<alt (- (pow b 4) 144)> |
#<alt (- (pow b 4) 144)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt -1/12> |
#<alt (- (* -1/144 (pow b 2)) 1/12)> |
#<alt (- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12)> |
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12)> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))> |
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))> |
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))> |
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))> |
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (* b (* b (+ (* b b) 12))) |
| 0.0ms | b | @ | inf | (+ (* (* b b) (* (+ (* b (* b (* b b))) -144) (/ 1 (+ (* b b) -12)))) -1) |
| 0.0ms | b | @ | inf | (* (+ (* b (* b (* b b))) -144) (/ 1 (+ (* b b) -12))) |
| 0.0ms | b | @ | -inf | (* b 12) |
| 0.0ms | b | @ | 0 | (* b (+ (* b b) (* 2 (* a a)))) |
| 1× | batch-egg-rewrite |
| 11 736× | lower-fma.f32 |
| 11 720× | lower-fma.f64 |
| 4 174× | lower-*.f32 |
| 4 150× | lower-*.f64 |
| 3 698× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 159 |
| 0 | 54 | 128 |
| 1 | 214 | 111 |
| 2 | 1424 | 111 |
| 0 | 8472 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b #s(literal 12 binary64)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(fma.f64 b b #s(literal 12 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a a)) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) |
(+.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))))) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) b (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 (*.f64 a (*.f64 a a)) a (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) |
(fma.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 (neg.f64 b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (fma.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 (neg.f64 b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (neg.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))))) (neg.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 (neg.f64 b) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))) (*.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))))) (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))))))) |
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(*.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
(*.f64 (-.f64 #s(literal 20736 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64)) |
(*.f64 a (*.f64 a a)) |
(*.f64 (*.f64 a a) a) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 b b #s(literal -12 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 #s(literal -12 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(-.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (/.f64 (*.f64 b (*.f64 b #s(literal -12 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 12 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) |
(/.f64 (fma.f64 b b #s(literal 12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64)))) |
(/.f64 (neg.f64 (fma.f64 b b #s(literal 12 binary64))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 12 binary64)))) |
(pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64)))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(*.f64 (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (fma.f64 b b #s(literal 12 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 144 binary64))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64))) (/.f64 (fma.f64 b b #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 144 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 (fma.f64 b b #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 144 binary64))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64))))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 144 binary64))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64)) (*.f64 b (*.f64 b #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -2985984 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 20736 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 144 binary64))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal -1728 binary64))) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -20736 binary64))) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal 144 binary64))))) |
| 1× | egg-herbie |
| 15 200× | lower-fma.f64 |
| 15 200× | lower-fma.f32 |
| 6 678× | lower-*.f64 |
| 6 678× | lower-*.f32 |
| 1 654× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1784 |
| 1 | 325 | 1784 |
| 2 | 807 | 1778 |
| 3 | 3043 | 1778 |
| 4 | 5347 | 1778 |
| 0 | 8081 | 1646 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow a 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* 2 (* (pow a 2) b)) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(pow b 3) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(* 2 (pow a 2)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(pow b 2) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(* 2 (pow a 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 a 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 a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
(* 2 (pow a 2)) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* 12 (pow b 2)) 1) |
(- (* 12 (pow b 2)) 1) |
(* 12 (pow b 2)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* 12 (pow b 2)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 b) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* 12 b) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
(* b (+ 12 (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow a 4) |
(+ (pow a 4) (pow b 4)) |
(+ (pow a 4) (pow b 4)) |
(+ (pow a 4) (pow b 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(pow b 4) |
(+ (pow a 4) (pow b 4)) |
(+ (pow a 4) (pow b 4)) |
(+ (pow a 4) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
12 |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(+ 12 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
-144 |
(- (pow b 4) 144) |
(- (pow b 4) 144) |
(- (pow b 4) 144) |
(pow b 4) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(pow b 4) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
-1/12 |
(- (* -1/144 (pow b 2)) 1/12) |
(- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2)) |
| Outputs |
|---|
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* 2 (* (pow a 2) b)) |
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* b (+ (* 2 (pow a 2)) (pow b 2))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(+ (* 2 (* (pow a 2) b)) (pow b 3)) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* 2 (* (pow a 2) b)) |
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* 2 (* (pow a 2) b)) |
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2)))) |
(*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(+ (* 2 (pow a 2)) (pow b 2)) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* 12 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* 12 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- 12 (/ 1 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* 12 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* 12 b) |
(*.f64 b #s(literal 12 binary64)) |
(* b (+ 12 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* b (+ 12 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* b (+ 12 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 12 binary64))) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (/ (pow a 4) (pow b 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (pow a 4) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow a 4) (+ 1 (/ (pow b 4) (pow a 4)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
-144 |
#s(literal -144 binary64) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(- (pow b 4) 144) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
-1/12 |
#s(literal -1/12 binary64) |
(- (* -1/144 (pow b 2)) 1/12) |
(fma.f64 (*.f64 b b) #s(literal -1/144 binary64) #s(literal -1/12 binary64)) |
(- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal -1/12 binary64)) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/20736 binary64) #s(literal -1/1728 binary64))) #s(literal -1/144 binary64)) #s(literal -1/12 binary64)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1728 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (*.f64 b b)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1728 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 b b)) |
Compiled 35 763 to 2 302 computations (93.6% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 128 | 6 | 1 134 |
| Fresh | 4 | 8 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 135 | 20 | 1 155 |
| Status | Accuracy | Program |
|---|---|---|
| 67.6% | (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| ✓ | 40.6% | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
| 51.8% | (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) | |
| 71.7% | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 71.4% | (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 55.1% | (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) | |
| ✓ | 75.3% | (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| 56.0% | (fma.f64 b (*.f64 b (*.f64 b b)) (/.f64 (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))) | |
| 47.9% | (pow.f64 a #s(literal 4 binary64)) | |
| 75.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))) | |
| 47.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) | |
| 51.8% | (-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) | |
| 47.8% | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| 18.4% | (*.f64 b (*.f64 (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) | |
| ✓ | 44.2% | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
| ✓ | 44.1% | (*.f64 b (*.f64 b (*.f64 b b))) |
| 28.5% | (*.f64 b (*.f64 b #s(literal 12 binary64))) | |
| 65.9% | (*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) | |
| ✓ | 47.8% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | 24.7% | #s(literal -1 binary64) |
Compiled 1 029 to 290 computations (71.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 b (*.f64 (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (/.f64 (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
5 calls:
| 11.0ms | (*.f64 b b) |
| 10.0ms | b |
| 10.0ms | a |
| 10.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 9.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 b (*.f64 (/.f64 b (fma.f64 b b #s(literal -12 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
5 calls:
| 9.0ms | a |
| 8.0ms | b |
| 8.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 7.0ms | (*.f64 b b) |
| 7.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 99.2% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 99.2% | 1 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) |
5 calls:
| 6.0ms | 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 6.0ms | (*.f64 b b) |
| 5.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | a |
| 99.2% | 2 | b |
| 99.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 99.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 99.2% | 2 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) |
5 calls:
| 5.0ms | a |
| 5.0ms | b |
| 5.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 5.0ms | (*.f64 b b) |
| 5.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | a |
| 92.2% | 3 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 92.2% | 3 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 95.2% | 2 | b |
| 95.2% | 2 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
3 calls:
| 9.0ms | b |
| 5.0ms | a |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 2 | b |
| 95.2% | 2 | (*.f64 b b) |
| 95.8% | 3 | a |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
2 calls:
| 5.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | b |
| 94.8% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
5 calls:
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 3.0ms | (*.f64 b b) |
| 3.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 4 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 83.8% | 4 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 86.8% | 3 | a |
| 85.2% | 3 | b |
| 85.2% | 3 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | a |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (*.f64 b b) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 64.3% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 74.3% | 2 | b |
| 74.3% | 2 | (*.f64 b b) |
| 74.2% | 3 | a |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
5 calls:
| 2.0ms | 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 51.8% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 51.8% | 1 | a |
| 51.8% | 1 | b |
| 51.8% | 1 | (*.f64 b b) |
Compiled 71 to 42 computations (40.8% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
| Outputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 12 binary64))) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 3 | a |
| 51.6% | 2 | b |
| 51.6% | 2 | (*.f64 b b) |
| 52.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 52.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Compiled 71 to 42 computations (40.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.7% | 1 | a |
| 24.7% | 1 | b |
| 24.7% | 1 | (*.f64 b b) |
| 24.7% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 24.7% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Compiled 71 to 42 computations (40.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.433086241363133e-6 | 4717.105284295045 |
Compiled 32 to 22 computations (31.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.6914008376373547e-5 | 636.2362049525162 |
| 18.0ms | -100490050.97228993 | -0.003231468253807892 |
| 24.0ms | 304× | 0 | valid |
Compiled 547 to 345 computations (36.9% saved)
ival-mult: 8.0ms (45.8% of total)ival-add: 4.0ms (22.9% of total)ival-sub: 2.0ms (11.4% of total)ival-pow2: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.375091195198322e+85 | 1.3902306379012916e+96 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.375091195198322e+85 | 1.3902306379012916e+96 |
Compiled 32 to 22 computations (31.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1421081523308.4282 | 3203733231319441.5 |
| 14.0ms | -3.7669114044504523e+28 | -1.1202189458074225e+26 |
| 21.0ms | 256× | 0 | valid |
Compiled 338 to 222 computations (34.3% saved)
ival-mult: 6.0ms (37.3% of total)ival-add: 4.0ms (24.8% of total)ival-pow2: 3.0ms (18.6% of total)ival-sub: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1421081523308.4282 | 3203733231319441.5 |
| 1.0ms | -3.7669114044504523e+28 | -1.1202189458074225e+26 |
Compiled 338 to 230 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.916622913376549e+291 | 1.35057127043628e+304 |
Compiled 32 to 22 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.719707628094365e-5 | 1.1434046813996122e+20 |
Compiled 34 to 24 computations (29.4% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 283 |
| 1 | 104 | 283 |
| 2 | 107 | 283 |
| 3 | 108 | 283 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 a #s(literal -49000 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) (if (<=.f64 a #s(literal 520 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(if (<=.f64 (*.f64 b b) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(if (<=.f64 a #s(literal -2099999999999999945440493568 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 31000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(if (<=.f64 a #s(literal -2099999999999999945440493568 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 31000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 (*.f64 b b) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 12 binary64)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 12 binary64)))) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 (*.f64 b b) #s(literal 5902958103587057/590295810358705651712 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 a #s(literal -49000 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))) (if (<=.f64 a #s(literal 520 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) b #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(if (<=.f64 (*.f64 b b) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))) |
(if (<=.f64 a #s(literal -2099999999999999945440493568 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 31000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(if (<=.f64 a #s(literal -2099999999999999945440493568 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 31000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 (*.f64 b b) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 12 binary64)))) |
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 12 binary64)))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 12 binary64)))) |
#s(literal -1 binary64) |
| 19 992× | lower-fma.f64 |
| 19 992× | lower-fma.f32 |
| 15 200× | lower-fma.f64 |
| 15 200× | lower-fma.f32 |
| 11 414× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2388 |
| 1 | 694 | 2338 |
| 2 | 2181 | 2275 |
| 3 | 5585 | 2238 |
| 0 | 8199 | 2045 |
| 0 | 426 | 5157 |
| 1 | 1381 | 4984 |
| 2 | 4744 | 4846 |
| 0 | 8219 | 4444 |
| 0 | 121 | 1784 |
| 1 | 325 | 1784 |
| 2 | 807 | 1778 |
| 3 | 3043 | 1778 |
| 4 | 5347 | 1778 |
| 0 | 8081 | 1646 |
| 0 | 34 | 220 |
| 0 | 69 | 200 |
| 1 | 344 | 198 |
| 2 | 3076 | 198 |
| 0 | 8234 | 194 |
| 0 | 191 | 2222 |
| 1 | 599 | 2169 |
| 2 | 1845 | 2105 |
| 3 | 5761 | 2012 |
| 0 | 8475 | 1830 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 769 to 371 computations (51.8% saved)
(abs b)
Compiled 690 to 226 computations (67.2% saved)
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