
Time bar (total: 13.5s)
| 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 33 to 20 computations (39.4% saved)
| 858.0ms | 8 256× | 0 | valid |
ival-mult: 288.0ms (44.9% of total)ival-add: 162.0ms (25.3% of total)ival-sub: 91.0ms (14.2% of total)ival-pow2: 81.0ms (12.6% of total)exact: 11.0ms (1.7% of total)ival-true: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 21 268× | accelerator-lowering-fma.f32 |
| 21 268× | accelerator-lowering-fma.f64 |
| 4 248× | --lowering--.f32 |
| 4 248× | --lowering--.f64 |
| 3 998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 190 |
| 1 | 192 | 188 |
| 2 | 706 | 186 |
| 3 | 2940 | 186 |
| 4 | 6753 | 186 |
| 0 | 19 | 31 |
| 1 | 57 | 31 |
| 2 | 175 | 31 |
| 3 | 580 | 31 |
| 4 | 1944 | 31 |
| 5 | 3471 | 31 |
| 0 | 8055 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
| Outputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
| Inputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1) |
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1) |
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)) |
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)) |
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1) |
| Outputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1)) |
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1) |
(+ (* 4 (+ (- (* a a) (pow a 3)) (* b (* b (+ 1 (* a 3)))))) (+ (pow (+ (* a a) (* b b)) 2) -1)) |
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1) |
(+ (* 4 (+ (+ (* a a) (pow a 3)) (* (* b b) (+ 1 (* a -3))))) (+ (pow (+ (* a a) (* b b)) 2) -1)) |
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (+ 1 (neg a))) (* (* b b) (- 1 (* 3 (neg a))))))) 1)) |
(+ (* 4 (- (pow a 3) (+ (* a a) (* b (* b (+ 1 (* a 3))))))) (- 1 (pow (+ (* a a) (* b b)) 2))) |
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* (neg b) (neg b)) (- 1 (* 3 a)))))) 1)) |
(+ (* 4 (+ (* (* a a) (- -1 a)) (* (* b b) (+ (* a 3) -1)))) (- 1 (pow (+ (* a a) (* b b)) 2))) |
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (+ 1 b)) (* (* a a) (- 1 (* 3 b)))))) 1) |
(+ (* 4 (+ (* a a) (+ (* b (+ (* (* a a) -3) b)) (pow b 3)))) (+ (pow (+ (* a a) (* b b)) 2) -1)) |
(abs b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 51 | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 33 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| 16 | 0 | - | 1 | (-3.2471733277788135e+199 2.1011630788420035e-161) | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 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 | - | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | b |
| 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 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | nan-rescue | 51 | 0 |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 154 | |
| ↳ | (*.f64 a a) | overflow | 67 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 119 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 78 | |
| ↳ | (*.f64 a a) | overflow | 67 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 82 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | overflow | 127 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) | overflow | 127 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | nan-rescue | 33 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 78 | |
| ↳ | (*.f64 a a) | overflow | 67 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 82 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 0 |
| - | 0 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 0 |
| - | 0 | 0 | 191 |
| number | freq |
|---|---|
| 0 | 191 |
| 1 | 46 |
| 2 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 474× | 0 | valid |
| 7.0ms | 22× | 2 | valid |
| 5.0ms | 16× | 1 | valid |
Compiled 372 to 80 computations (78.5% saved)
ival-mult: 19.0ms (45.6% of total)ival-add: 9.0ms (21.6% of total)ival-sub: 5.0ms (12% of total)ival-pow2: 5.0ms (12% of total)adjust: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.5% | (-.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
Compiled 33 to 19 computations (42.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| ✓ | cost-diff | 5376 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 21 268× | accelerator-lowering-fma.f32 |
| 21 268× | accelerator-lowering-fma.f64 |
| 4 248× | --lowering--.f32 |
| 4 248× | --lowering--.f64 |
| 3 998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 1 | 57 | 151 |
| 2 | 175 | 151 |
| 3 | 580 | 151 |
| 4 | 1944 | 151 |
| 5 | 3471 | 151 |
| 0 | 8055 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(pow (+ (* a a) (* b b)) 2) |
(+ (* a a) (* b b)) |
(* a a) |
a |
(* b b) |
b |
2 |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
4 |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(* (* a a) (+ 1 a)) |
(+ 1 a) |
1 |
(* (* b b) (- 1 (* 3 a))) |
(- 1 (* 3 a)) |
(* 3 a) |
3 |
| Outputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))))))) |
(pow (+ (* a a) (* b b)) 2) |
(*.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) |
(* a a) |
(fma.f64 a a #s(literal 0 binary64)) |
a |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
2 |
#s(literal 2 binary64) |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) #s(literal 0 binary64))) |
4 |
#s(literal 4 binary64) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 a a a) (fma.f64 b (fma.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* a a) (+ 1 a)) |
(fma.f64 a (fma.f64 a a a) #s(literal 0 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (* b b) (- 1 (* 3 a))) |
(fma.f64 b (fma.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(- 1 (* 3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* 3 a) |
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) |
3 |
#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 | 94.5% | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| ✓ | accuracy | 88.2% | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| ✓ | accuracy | 84.1% | (+.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 36.0ms | 237× | 0 | valid |
| 3.0ms | 11× | 2 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 153 to 21 computations (86.3% saved)
ival-sub: 12.0ms (40.1% of total)ival-mult: 9.0ms (30.1% of total)ival-add: 5.0ms (16.7% of total)ival-pow2: 2.0ms (6.7% of total)adjust: 1.0ms (3.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (+ (* a a) (* b b)) 2)> |
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))> |
#<alt (+ (* a a) (* b b))> |
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))> |
#<alt (* (* b b) (- 1 (* 3 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 (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 (- 1 (* 3 a))))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (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 (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))> |
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))> |
#<alt (* (pow a 2) (+ 1 a))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
| 1.0ms | 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) |
| 0.0ms | b | @ | inf | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
| 1× | batch-egg-rewrite |
| 8 020× | accelerator-lowering-fma.f32 |
| 8 020× | accelerator-lowering-fma.f64 |
| 4 744× | *-lowering-*.f32 |
| 4 744× | *-lowering-*.f64 |
| 3 290× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 71 |
| 1 | 116 | 71 |
| 2 | 1063 | 71 |
| 0 | 8430 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (+ (* a a) (* b b)) 2) |
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(+ (* a a) (* b b)) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(* (* b b) (- 1 (* 3 a))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.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 (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)))) |
(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))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(fma.f64 (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(/.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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))))) (-.f64 #s(literal 0 binary64) (*.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)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b b) (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a (*.f64 a (*.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)))) (-.f64 #s(literal 0 binary64) (*.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))))))) |
(/.f64 (-.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 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 (*.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 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)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)))) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))))) |
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 23 442× | accelerator-lowering-fma.f32 |
| 23 442× | accelerator-lowering-fma.f64 |
| 4 536× | +-lowering-+.f64 |
| 4 536× | +-lowering-+.f32 |
| 4 408× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1704 |
| 1 | 565 | 1636 |
| 2 | 1710 | 1594 |
| 3 | 5151 | 1544 |
| 0 | 8218 | 1379 |
| 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))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (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)))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* (pow a 2) (+ 1 a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* -3 (* a (pow b 2))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (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 (*.f64 b 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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.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)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(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 (*.f64 b b)) (*.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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
(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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 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) a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.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 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 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 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) #s(literal 4 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)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a a)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)) a)))) |
(* (pow a 2) (+ 1 a)) |
(*.f64 a (fma.f64 a a a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64)))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
Compiled 44 750 to 2 436 computations (94.6% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 569 | 11 | 580 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 570 | 11 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| 75.6% | (-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) | |
| ▶ | 78.2% | (-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal 1 binary64)) |
| ▶ | 75.6% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64)) |
| 74.5% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| 41.3% | (-.f64 (+.f64 (/.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 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| 41.3% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| ▶ | 72.3% | (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 63.6% | (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) #s(literal 1 binary64)) |
| 65.7% | (-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| 72.0% | (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) | |
| ▶ | 64.6% | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
Compiled 644 to 322 computations (50% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1856 | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
| ✓ | cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 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 | 128 | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
| ✓ | cost-diff | 128 | (-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
| ✓ | cost-diff | 640 | (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
| 28 210× | accelerator-lowering-fma.f32 |
| 28 210× | accelerator-lowering-fma.f64 |
| 5 914× | +-lowering-+.f64 |
| 5 914× | +-lowering-+.f32 |
| 3 532× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 518 |
| 1 | 159 | 494 |
| 2 | 502 | 486 |
| 3 | 1503 | 486 |
| 4 | 3979 | 458 |
| 5 | 5732 | 458 |
| 0 | 8133 | 400 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1) |
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) |
(* a a) |
a |
(+ (* a a) (+ (* 4 a) 4)) |
(+ (* 4 a) 4) |
4 |
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) |
(* b b) |
b |
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))) |
(+ (* a -3) 1) |
-3 |
1 |
(* 2 (* a a)) |
2 |
(- (* a (* a (* a a))) 1) |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
1 |
(- (* (* b b) (+ (* b b) 4)) 1) |
(* (* b b) (+ (* b b) 4)) |
(* b b) |
b |
(+ (* b b) 4) |
4 |
1 |
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1) |
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
(+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)) |
1 |
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a) |
(+ 4 (/ (+ (* b (* b 2)) 4) a)) |
4 |
(/ (+ (* b (* b 2)) 4) a) |
(+ (* b (* b 2)) 4) |
b |
(* b 2) |
2 |
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1) |
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) |
1 |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) |
4 |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
(* b (+ (* a -3) 1)) |
(+ (* a -3) 1) |
-3 |
(* a (+ (* a a) a)) |
(+ (* a a) a) |
| Outputs |
|---|
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(* a a) |
(*.f64 a a) |
a |
(+ (* a a) (+ (* 4 a) 4)) |
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) |
(+ (* 4 a) 4) |
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) |
(* b b) |
(*.f64 b b) |
b |
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) |
(+ (* a -3) 1) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
1 |
#s(literal 1 binary64) |
(* 2 (* a a)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (* a (* a (* a a))) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
1 |
#s(literal 1 binary64) |
(- (* (* b b) (+ (* b b) 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (* b b) (+ (* b b) 4)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(+ (* b b) 4) |
(fma.f64 b b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
1 |
#s(literal 1 binary64) |
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
(+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) |
1 |
#s(literal 1 binary64) |
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a) |
(+ 4 (/ (+ (* b (* b 2)) 4) a)) |
(+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) |
4 |
#s(literal 4 binary64) |
(/ (+ (* b (* b 2)) 4) a) |
(/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a) |
(+ (* b (* b 2)) 4) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) |
b |
(* b 2) |
(*.f64 b #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1) |
(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)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) |
(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)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))) |
(/.f64 #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)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))))) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))) |
(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)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))) |
(+ (* a a) (* b b)) |
(fma.f64 b b (*.f64 a a)) |
a |
(* b b) |
(*.f64 b b) |
b |
(* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) |
4 |
#s(literal 4 binary64) |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(* b (+ (* a -3) 1)) |
(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) |
(+ (* a -3) 1) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
(* a (+ (* a a) a)) |
(*.f64 a (fma.f64 a a a)) |
(+ (* a a) a) |
(fma.f64 a a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a)))))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) |
| ✓ | accuracy | 89.9% | (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
| ✓ | accuracy | 83.7% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 96.9% | (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a) |
| ✓ | accuracy | 93.8% | (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a) |
| ✓ | accuracy | 61.1% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
| ✓ | accuracy | 100.0% | (fma.f64 b b #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) |
| ✓ | accuracy | 87.4% | (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
| 166.0ms | 239× | 0 | valid |
| 8.0ms | 10× | 2 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 479 to 49 computations (89.8% saved)
ival-mult: 64.0ms (44% of total)ival-sub: 58.0ms (39.9% of total)ival-add: 15.0ms (10.3% of total)ival-div: 7.0ms (4.8% of total)adjust: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))> |
#<alt (+ (* a a) (+ (* 4 a) 4))> |
#<alt (- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1)> |
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))))> |
#<alt (- (* a (* a (* a a))) 1)> |
#<alt (* a (* a (* a a)))> |
#<alt (* a (* a a))> |
#<alt (* a a)> |
#<alt (- (* (* b b) (+ (* b b) 4)) 1)> |
#<alt (* (* b b) (+ (* b b) 4))> |
#<alt (* b b)> |
#<alt (+ (* b b) 4)> |
#<alt (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))> |
#<alt (- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1)> |
#<alt (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))))> |
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))> |
#<alt (- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1)> |
#<alt (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))> |
#<alt (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))> |
#<alt (* 2 (* a a))> |
#<alt (/ (+ (* b (* b 2)) 4) a)> |
#<alt (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)> |
#<alt (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))> |
| Outputs |
|---|
#<alt 4> |
#<alt (+ 4 (* -12 a))> |
#<alt (+ 4 (* a (- (* 2 a) 12)))> |
#<alt (+ 4 (* a (- (* 2 a) 12)))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))> |
#<alt (* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))> |
#<alt (* 2 (pow a 2))> |
#<alt (* (pow a 2) (- 2 (* 12 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))> |
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))> |
#<alt 4> |
#<alt (+ 4 (* 4 a))> |
#<alt (+ 4 (* a (+ 4 a)))> |
#<alt (+ 4 (* a (+ 4 a)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 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 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)> |
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
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#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))> |
#<alt (/ 1 (pow a 4))> |
#<alt (/ (- 1 (* 4 (/ 1 a))) (pow a 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4))> |
#<alt (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))> |
#<alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))> |
#<alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))> |
#<alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))> |
#<alt (/ 1 (pow b 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))> |
#<alt (* 4 (pow b 2))> |
#<alt (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2)))> |
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))> |
#<alt (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 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 (/ 4 a)> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (* 2 (/ (pow b 2) a))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* 2 (/ (pow b 2) a))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 4 (/ 1 a))) a)> |
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))> |
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))> |
#<alt (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))> |
#<alt (* 2 (/ (pow b 2) (pow a 2)))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (* 2 (/ (pow b 2) (pow a 2)))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))> |
#<alt (/ (+ 4 (* 2 (pow b 2))) (pow a 2))> |
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))> |
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))> |
#<alt (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2))> |
#<alt (/ 4 a)> |
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)> |
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)> |
#<alt (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)> |
#<alt (/ 4 a)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))> |
#<alt (* a (+ a (pow a 2)))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (* (pow b 2) (+ 1 (* -3 a)))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 a)))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))> |
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | b | @ | inf | (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) |
| 4.0ms | b | @ | 0 | (- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1) |
| 2.0ms | b | @ | 0 | (- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1) |
| 2.0ms | b | @ | 0 | (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) |
| 1.0ms | b | @ | 0 | (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))) |
| 1× | batch-egg-rewrite |
| 8 278× | *-lowering-*.f32 |
| 8 278× | *-lowering-*.f64 |
| 7 762× | accelerator-lowering-fma.f32 |
| 7 762× | accelerator-lowering-fma.f64 |
| 4 140× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 357 |
| 1 | 381 | 335 |
| 2 | 3826 | 335 |
| 0 | 11688 | 288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))) |
(+ (* a a) (+ (* 4 a) 4)) |
(- (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) 1) |
(+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) (* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a))))) |
(- (* a (* a (* a a))) 1) |
(* a (* a (* a a))) |
(* a (* a a)) |
(* a a) |
(- (* (* b b) (+ (* b b) 4)) 1) |
(* (* b b) (+ (* b b) 4)) |
(* b b) |
(+ (* b b) 4) |
(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(- (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) 1) |
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))) |
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))))))) 1) |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))))) |
(* (* b b) (+ (* 4 (+ (* a -3) 1)) (* 2 (* a a)))) |
(* 2 (* a a)) |
(/ (+ (* b (* b 2)) 4) a) |
(/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a) |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
| Outputs |
|---|
(+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) |
(+.f64 (*.f64 a #s(literal -12 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(+.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal -12 binary64))) #s(literal 4 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 a #s(literal -3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) |
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 (*.f64 a #s(literal 2 binary64)) a (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) |
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))))) |
(/.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) |
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(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a)) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (-.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 a a)) a)) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 a a) a) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a))) (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a a) (*.f64 (fma.f64 a a a) (fma.f64 a a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))))) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 a (fma.f64 a a a))))) |
| 1× | egg-herbie |
| 11 728× | accelerator-lowering-fma.f32 |
| 11 728× | accelerator-lowering-fma.f64 |
| 4 934× | *-lowering-*.f32 |
| 4 934× | *-lowering-*.f64 |
| 4 258× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 419 | 7649 |
| 1 | 1372 | 7328 |
| 2 | 4853 | 6934 |
| 0 | 8315 | 6288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -12 a)) |
(+ 4 (* a (- (* 2 a) 12))) |
(+ 4 (* a (- (* 2 a) 12))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(+ 4 (* a (+ 4 a))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(- (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* 4 (pow b 2)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
-1 |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (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 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 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (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 b 2) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
-1 |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(- (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 12 (/ (* a (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))))) (+ (* 4 (pow b 2)) (pow b 4)))))))) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(/ 1 (pow a 4)) |
(/ (- 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(/ 1 (pow a 4)) |
(/ (- 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -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 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* 4 (pow b 2)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 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)) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 4 (/ 1 a))) a) |
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) |
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) |
(+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 (pow a 2))) (+ (/ 4 (* a (pow b 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2)) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2)) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* 4 a))) (pow a 2)) |
(/ 4 a) |
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a) |
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a) |
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a) |
(/ 4 a) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(* a (+ a (pow a 2))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -12 a)) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- (* 2 a) 12))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) |
(+ 4 (* a (- (* 2 a) 12))) |
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) #s(literal 2 binary64))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64)) #s(literal 2 binary64))) |
(* 2 (pow a 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -4 binary64) a)) a))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 (/.f64 #s(literal 4 binary64) a) a a)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.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 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.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 (fma.f64 (/.f64 #s(literal 4 binary64) a) a a)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.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 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.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)))) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 binary64) a)) #s(literal 4 binary64)) a)) 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) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(fma.f64 (*.f64 a 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 -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(fma.f64 (*.f64 a 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 -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(fma.f64 (*.f64 a 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 -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (pow a 4) 1) |
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)) |
(- (pow a 4) 1) |
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)) |
(- (pow a 4) 1) |
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(pow a 4) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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 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) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* 4 (pow b 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.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 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (*.f64 a (fma.f64 a (+.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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) |
(fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
-1 |
#s(literal -1 binary64) |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) a)) a))) |
(- (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) 1) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) 1) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (*.f64 b b))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) a)))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) 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 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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) 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 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
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(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal 4 binary64)) a) |
(/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal 4 binary64)) a) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (-.f64 #s(literal 0 binary64) a)) |
(* a (+ a (pow a 2))) |
(*.f64 a (fma.f64 a a a)) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 b (*.f64 b (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 a a (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) a))) a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b #s(literal 3 binary64)) (/.f64 b a))) a)) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
Compiled 114 086 to 4 682 computations (95.9% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 692 | 17 | 1 709 |
| Fresh | 5 | 1 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 702 | 18 | 1 720 |
| Status | Accuracy | Program |
|---|---|---|
| 13.7% | (fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64)) | |
| 72.3% | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| ▶ | 64.6% | (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
| 65.7% | (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| ▶ | 83.6% | (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| 52.0% | (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) | |
| 38.6% | (/.f64 (fma.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)))) | |
| 68.6% | (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 64.6% | (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| ▶ | 98.7% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| 72.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) | |
| ▶ | 74.5% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 30.4% | (-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| 53.1% | (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) | |
| 65.7% | (-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 41.4% | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| 48.6% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| ▶ | 24.9% | #s(literal -1 binary64) |
Compiled 1 040 to 392 computations (62.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| ✓ | cost-diff | 640 | (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 4 binary64) a) |
| ✓ | cost-diff | 0 | (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 a a) |
| ✓ | cost-diff | -64 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
| ✓ | cost-diff | 64 | (*.f64 #s(literal 4 binary64) (*.f64 b b)) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) |
| 23 582× | accelerator-lowering-fma.f32 |
| 23 582× | accelerator-lowering-fma.f64 |
| 3 956× | +-lowering-+.f64 |
| 3 956× | +-lowering-+.f32 |
| 3 564× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 371 |
| 1 | 117 | 363 |
| 2 | 350 | 363 |
| 3 | 1090 | 363 |
| 4 | 3474 | 355 |
| 5 | 5561 | 347 |
| 0 | 8659 | 303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1) |
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) |
1 |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(* 4 (* b b)) |
4 |
-1 |
(+ (* (* a (* a a)) a) -1) |
(* a (* a a)) |
a |
(* a a) |
-1 |
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1) |
a |
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))) |
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)) |
(+ 4 a) |
4 |
(+ (* 2 (* b b)) 4) |
2 |
(* b b) |
b |
-1 |
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(/ 1 (+ (* a a) (* b b))) |
1 |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
4 |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(* (* a a) (+ 1 a)) |
(* a a) |
(+ 1 a) |
(* (* b b) (- 1 (* 3 a))) |
(- 1 (* 3 a)) |
(* 3 a) |
3 |
| Outputs |
|---|
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64))) |
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) |
(fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64))))) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) |
(fma.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) |
a |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
(* 4 (* b b)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* (* a (* a a)) a) -1) |
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64)) #s(literal -1 binary64)) |
(* a (* a a)) |
(fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)) |
a |
(* a a) |
(fma.f64 a a #s(literal 0 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1) |
(fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
a |
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))) |
(*.f64 a (fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)) |
(fma.f64 b (+.f64 b b) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) |
(+ 4 a) |
(+.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* 2 (* b b)) 4) |
(fma.f64 b (+.f64 b b) #s(literal 4 binary64)) |
2 |
#s(literal 2 binary64) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
-1 |
#s(literal -1 binary64) |
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(*.f64 (fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (fma.f64 b b #s(literal 0 binary64))) |
a |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
(/ 1 (+ (* a a) (* b b))) |
(/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 b b #s(literal 0 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) |
4 |
#s(literal 4 binary64) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(* (* a a) (+ 1 a)) |
(fma.f64 a (fma.f64 a a a) #s(literal 0 binary64)) |
(* a a) |
(fma.f64 a a #s(literal 0 binary64)) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(* (* b b) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(- 1 (* 3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* 3 a) |
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) |
3 |
#s(literal 3 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) |
| ✓ | accuracy | 94.5% | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| ✓ | accuracy | 88.2% | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| ✓ | accuracy | 84.1% | (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 4 binary64) a) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 97.4% | (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| ✓ | accuracy | 94.0% | (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (*.f64 b b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
| 60.0ms | 237× | 0 | valid |
| 7.0ms | 11× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 355 to 40 computations (88.7% saved)
ival-mult: 20.0ms (41.8% of total)ival-add: 11.0ms (23% of total)ival-div: 7.0ms (14.6% of total)ival-sub: 7.0ms (14.6% of total)adjust: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))))> |
#<alt (- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1)> |
#<alt (* 4 (* b b))> |
#<alt (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))> |
#<alt (+ (* (* a (* a a)) a) -1)> |
#<alt (* a (* a a))> |
#<alt (* a a)> |
#<alt (+ (* 2 (* b b)) 4)> |
#<alt (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))> |
#<alt (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))> |
#<alt (+ 4 a)> |
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))> |
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))> |
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))> |
#<alt (- 1 (* 3 a))> |
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))> |
#<alt (+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1)> |
#<alt (* b b)> |
#<alt (* (* b b) (- 1 (* 3 a)))> |
#<alt (/ 1 (+ (* a a) (* b b)))> |
| Outputs |
|---|
#<alt (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (pow a 4)> |
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 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))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (- (pow a 4) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))> |
#<alt (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))> |
#<alt (+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))) (+ (* 4 (pow b 2)) (pow b 4)))) (* -2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3)))))) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4))))> |
#<alt (/ 1 (pow a 4))> |
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))> |
#<alt (/ 1 (pow a 4))> |
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))> |
#<alt (/ 1 (pow a 4))> |
#<alt (+ (* -1 (* (pow b 2) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))> |
#<alt (+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))> |
#<alt (+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8)))) (pow a 4))) (* -1 (/ (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))) (pow a 4)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4)))> |
#<alt (/ 1 (pow b 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))> |
#<alt (/ 1 (pow b 4))> |
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))> |
#<alt -1> |
#<alt (- (pow a 4) 1)> |
#<alt (- (pow a 4) 1)> |
#<alt (- (pow a 4) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (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 4> |
#<alt (+ 4 (* 2 (pow b 2)))> |
#<alt (+ 4 (* 2 (pow b 2)))> |
#<alt (+ 4 (* 2 (pow b 2)))> |
#<alt (* 2 (pow b 2))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* 2 (pow b 2))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* a (+ 4 (* 2 (pow b 2))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))> |
#<alt (* a (+ 4 (* a (+ 4 a))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (* 2 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* 2 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (+ 4 (* 2 (pow b 2)))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (+ 4 (* a (+ 4 a)))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))> |
#<alt (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))> |
#<alt (* 2 (pow b 2))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt (* 2 (pow b 2))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2)))))> |
#<alt 4> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<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 (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 (- 1 (* 3 a))))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))> |
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))> |
#<alt (* (pow a 2) (+ 1 a))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt 1> |
#<alt (+ 1 (* -3 a))> |
#<alt (+ 1 (* -3 a))> |
#<alt (+ 1 (* -3 a))> |
#<alt (* -3 a)> |
#<alt (* a (- (/ 1 a) 3))> |
#<alt (* a (- (/ 1 a) 3))> |
#<alt (* a (- (/ 1 a) 3))> |
#<alt (* -3 a)> |
#<alt (* -1 (* a (- 3 (/ 1 a))))> |
#<alt (* -1 (* a (- 3 (/ 1 a))))> |
#<alt (* -1 (* a (- 3 (/ 1 a))))> |
#<alt (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (pow a 4)> |
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 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))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt -1> |
#<alt (- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 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 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))> |
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (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 b 2)> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))> |
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
| 1.0ms | b | @ | 0 | (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
| 1.0ms | b | @ | inf | (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
| 1.0ms | a | @ | inf | (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
| 0.0ms | b | @ | 0 | (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))) |
| 1× | batch-egg-rewrite |
| 6 132× | *-lowering-*.f32 |
| 6 132× | *-lowering-*.f64 |
| 4 704× | accelerator-lowering-fma.f32 |
| 4 704× | accelerator-lowering-fma.f64 |
| 2 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 236 |
| 1 | 274 | 218 |
| 2 | 2672 | 218 |
| 0 | 8562 | 190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) |
(- (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))))) 1) |
(* 4 (* b b)) |
(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b)))) |
(+ (* (* a (* a a)) a) -1) |
(* a (* a a)) |
(* a a) |
(+ (* 2 (* b b)) 4) |
(* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4))) |
(+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)) |
(+ 4 a) |
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(- 1 (* 3 a)) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) |
(+ (* a (* a (+ (* a (+ 4 a)) (+ (* 2 (* b b)) 4)))) -1) |
(* b b) |
(* (* b b) (- 1 (* 3 a))) |
(/ 1 (+ (* a a) (* b b))) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))))) (*.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))))) |
(exp.f64 (log.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal -4 binary64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal -4 binary64) (*.f64 b b))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 13 714× | accelerator-lowering-fma.f32 |
| 13 714× | accelerator-lowering-fma.f64 |
| 6 392× | *-lowering-*.f32 |
| 6 392× | *-lowering-*.f64 |
| 3 390× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 6092 |
| 1 | 1441 | 5873 |
| 2 | 4985 | 5684 |
| 0 | 8304 | 5273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(/ 1 (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))) (+ (* 4 (pow b 2)) (pow b 4)))) (* -2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3)))))) (+ (* -4 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4)) |
(/ 1 (pow a 4)) |
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4)) |
(/ 1 (pow a 4)) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8)))) (pow a 4))) (* -1 (/ (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))) (pow a 4)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8))))) (pow a 4))) (/ 1 (pow a 8))))) (+ (* 2 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 8)))))) (/ 1 (pow a 4))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4)) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4)) |
-1 |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (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) |
4 |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (* 2 (pow b 2))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(* a (+ 4 (* a (+ 4 a)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(+ 4 (* a (+ 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
4 |
(+ 4 a) |
(+ 4 a) |
(+ 4 a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(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))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (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 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* (pow a 2) (+ 1 a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
1 |
(+ 1 (* -3 a)) |
(+ 1 (* -3 a)) |
(+ 1 (* -3 a)) |
(* -3 a) |
(* a (- (/ 1 a) 3)) |
(* a (- (/ 1 a) 3)) |
(* a (- (/ 1 a) 3)) |
(* -3 a) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
-1 |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (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 b 2) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* -3 (* a (pow b 2))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(/ 1 (pow b 2)) |
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(/ 1 (pow a 2)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ 1 (pow a 2)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ 1 (pow a 2)) |
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.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 (* 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 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.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 b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 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))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 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 (* 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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))) |
(- (pow a 4) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
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(/ 1 (pow a 4)) |
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(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
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(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
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(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))) (* -2 (* (pow b 2) (+ (* 4 (pow b 2)) (pow b 4))))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4)) |
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(/ 1 (pow a 4)) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) |
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4)) |
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(/ 1 (pow a 4)) |
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(/ 1 (pow b 4)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4)) |
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (pow b 4)) |
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4)))) (* -1 (* (pow a 4) (+ 4 (* 2 (pow a 2)))))) (pow b 6)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4)) |
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(/ 1 (pow b 4)) |
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-1 |
#s(literal -1 binary64) |
(- (pow a 4) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (pow a 4) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (pow a 4) 1) |
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(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
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(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
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(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
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(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) a)) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a))) a)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a))) a)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(* 2 (* a (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) a)) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* 2 (* a (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) a)) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) a)) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.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 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.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))) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
(* 2 (pow b 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
(* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (+ 4 a)) (pow b 2))))) |
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 b 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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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))))) |
(*.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 b (*.f64 b (*.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))))) |
(*.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 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 (* 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))))) |
(*.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 b (*.f64 b (*.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))))) |
(*.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 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(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 (*.f64 b b)) (*.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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #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 (/ 1 a)) (/ 4 (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 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(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 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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 -12 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 (*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (+.f64 a #s(literal 1 binary64)) #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 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 a a (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) (fma.f64 b (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))) a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64)) a)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a))) a)) a)))) |
(* (pow a 2) (+ 1 a)) |
(*.f64 a (fma.f64 a a a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* -3 a) |
(*.f64 a #s(literal -3 binary64)) |
(* a (- (/ 1 a) 3)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* a (- (/ 1 a) 3)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* a (- (/ 1 a) 3)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* -3 a) |
(*.f64 a #s(literal -3 binary64)) |
(* -1 (* a (- 3 (/ 1 a)))) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* -1 (* a (- 3 (/ 1 a)))) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* -1 (* a (- 3 (/ 1 a)))) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.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 (* 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 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.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 b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 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))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
-1 |
#s(literal -1 binary64) |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (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 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 (/ 1 a)) (/ 4 (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 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(*.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 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 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 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 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 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) a))) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(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) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(* -3 (* a (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 a (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a)))) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (*.f64 a a)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (*.f64 a a)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) |
Compiled 103 193 to 4 935 computations (95.2% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 563 | 9 | 1 572 |
| Fresh | 4 | 9 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 570 | 20 | 1 590 |
| Status | Accuracy | Program |
|---|---|---|
| 13.7% | (fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64)) | |
| 72.3% | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| ▶ | 98.7% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ✓ | 64.6% | (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
| ▶ | 44.7% | (fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| 65.7% | (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| 82.5% | (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) | |
| ▶ | 65.1% | (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
| ▶ | 52.0% | (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
| 32.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) | |
| 92.4% | (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 64.6% | (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| 72.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) | |
| ▶ | 98.7% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 30.4% | (-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| 53.1% | (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) | |
| 65.7% | (-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 48.6% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| 41.4% | (*.f64 a (*.f64 a (*.f64 a a))) | |
| ✓ | 24.9% | #s(literal -1 binary64) |
Compiled 1 009 to 389 computations (61.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) |
| ✓ | cost-diff | 0 | (fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) |
| ✓ | cost-diff | 3584 | (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 a a (*.f64 b b)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 a (+.f64 #s(literal 4 binary64) a)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 4 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a a (*.f64 b b)) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| ✓ | cost-diff | 128 | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
| 14 348× | accelerator-lowering-fma.f32 |
| 14 348× | accelerator-lowering-fma.f64 |
| 3 816× | *-lowering-*.f32 |
| 3 816× | *-lowering-*.f64 |
| 3 758× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 379 |
| 1 | 99 | 371 |
| 2 | 302 | 369 |
| 3 | 1294 | 317 |
| 4 | 3403 | 313 |
| 5 | 5326 | 313 |
| 0 | 8393 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) |
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(/ 1 (+ (* a a) (* b b))) |
1 |
(* 4 (* b b)) |
4 |
(+ (* 4 (* b b)) -1) |
4 |
(* b b) |
b |
-1 |
(+ (* a (* a (* a (+ 4 a)))) -1) |
a |
(* a (* a (+ 4 a))) |
(* a (+ 4 a)) |
(+ 4 a) |
4 |
-1 |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1)) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(+ (* b (* b 4)) -1) |
(* b 4) |
4 |
-1 |
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1) |
a |
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) |
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
(* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) |
(+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) |
(+ a 4) |
4 |
(+ (* b (* b 2)) 4) |
b |
(* b 2) |
2 |
(- (* a (+ a 4)) (+ (* b (* b 2)) 4)) |
(* a (+ a 4)) |
-1 |
| Outputs |
|---|
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) |
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (*.f64 b b)) |
a |
(* b b) |
(*.f64 b b) |
b |
(/ 1 (+ (* a a) (* b b))) |
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) |
1 |
#s(literal 1 binary64) |
(* 4 (* b b)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ (* 4 (* b b)) -1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
4 |
#s(literal 4 binary64) |
(* b b) |
(*.f64 b b) |
b |
-1 |
#s(literal -1 binary64) |
(+ (* a (* a (* a (+ 4 a)))) -1) |
(fma.f64 a (*.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) |
a |
(* a (* a (+ 4 a))) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (+.f64 a #s(literal 4 binary64))) |
(* a (+ 4 a)) |
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 0 binary64)) |
(+ 4 a) |
(+.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (*.f64 b b)) |
a |
(* b b) |
(*.f64 b b) |
b |
(+ (* b (* b 4)) -1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* b 4) |
(*.f64 b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
a |
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) |
(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) |
(*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)))) |
(+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) |
(fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ a 4) |
(+.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* b (* b 2)) 4) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
b |
(* b 2) |
(*.f64 b #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (* a (+ a 4)) (+ (* b (* b 2)) 4)) |
(fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(* a (+ a 4)) |
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 0 binary64)) |
-1 |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.5% | (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) |
| ✓ | accuracy | 97.4% | (fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| ✓ | accuracy | 95.0% | (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) |
| ✓ | accuracy | 49.4% | (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 a a (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 4 binary64) a) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 #s(literal 4 binary64) a)) |
| ✓ | accuracy | 99.9% | (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (*.f64 b b)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) |
| 56.0ms | 256× | 0 | valid |
Compiled 344 to 39 computations (88.7% saved)
ival-mult: 20.0ms (51.5% of total)ival-add: 11.0ms (28.3% of total)ival-div: 4.0ms (10.3% of total)ival-sub: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))> |
#<alt (- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1)> |
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b)))> |
#<alt (+ (* a a) (* b b))> |
#<alt (+ (* 4 (* b b)) -1)> |
#<alt (* b b)> |
#<alt (+ (* a (* a (* a (+ 4 a)))) -1)> |
#<alt (* a (* a (+ 4 a)))> |
#<alt (+ 4 a)> |
#<alt (* a (+ 4 a))> |
#<alt (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1))> |
#<alt (+ (* b (* b 4)) -1)> |
#<alt (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))> |
#<alt (- (* a (+ a 4)) (+ (* b (* b 2)) 4))> |
#<alt (+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1)> |
#<alt (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a)> |
#<alt (/ 1 (+ (* a a) (* b b)))> |
#<alt (* 4 (* b b))> |
#<alt (* b 4)> |
| 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 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (- (pow a 4) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))> |
#<alt (pow a 4)> |
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ 4 (+ (* 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))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (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 -1> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (* 4 (pow b 2))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* 4 (pow b 2))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (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 b 2)> |
#<alt -1> |
#<alt (- (* 4 (pow a 3)) 1)> |
#<alt (- (* (pow a 3) (+ 4 a)) 1)> |
#<alt (- (* (pow a 3) (+ 4 a)) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (* 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 (/ (- (/ 1 (pow a 3)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a))))> |
#<alt (* 4 (pow a 2))> |
#<alt (* (pow a 2) (+ 4 a))> |
#<alt (* (pow a 2) (+ 4 a))> |
#<alt (* (pow a 2) (+ 4 a))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt 4> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* 4 a)> |
#<alt (* a (+ 4 a))> |
#<alt (* a (+ 4 a))> |
#<alt (* a (+ 4 a))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))> |
#<alt (- (pow a 4) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))> |
#<alt -1> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (* 4 (pow b 2))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* 4 (pow b 2))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))> |
#<alt (* a (+ 4 (* 2 (pow b 2))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1)))> |
#<alt (* a (+ 4 (* a (+ 4 a))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a)))))> |
#<alt (* 2 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* 2 (* a (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2))))> |
#<alt (* -1 (+ 4 (* 2 (pow b 2))))> |
#<alt (- (* 4 a) (+ 4 (* 2 (pow b 2))))> |
#<alt (- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))> |
#<alt (- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))> |
#<alt (* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a)))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))> |
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a))))> |
#<alt (- (* a (+ 4 a)) 4)> |
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)> |
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)> |
#<alt (- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4)> |
#<alt (* -2 (pow b 2))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt (* -2 (pow b 2))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt (* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2))))))> |
#<alt -1> |
#<alt (- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1)> |
#<alt (- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 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 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a))))> |
#<alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1)> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2))))> |
#<alt (* -1 (* a (pow (+ 4 (* 2 (pow b 2))) 2)))> |
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (+ 4 (* 2 (pow b 2))))))))> |
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))))))))> |
#<alt (* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (+ (* 2 (pow b 2)) (* 8 a))))))))))> |
#<alt (pow a 5)> |
#<alt (* (pow a 5) (+ 1 (* 8 (/ 1 a))))> |
#<alt (* (pow a 5) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))> |
#<alt (* (pow a 5) (+ 1 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2)))))))))> |
#<alt (pow a 5)> |
#<alt (* (pow a 5) (+ 1 (* 8 (/ 1 a))))> |
#<alt (* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* 2 (/ (pow b 2) a)) (* 20 (/ 1 a))))) a)) 1)))> |
#<alt (* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (* -1 (/ (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -1 (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))) (* 4 (/ (+ 4 (* 2 (pow b 2))) a)))) a))) a)) 1)))> |
#<alt (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4)))> |
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))> |
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))> |
#<alt (+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))))> |
#<alt (* -4 (* a (pow b 4)))> |
#<alt (* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))> |
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))> |
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))> |
#<alt (* -4 (* a (pow b 4)))> |
#<alt (* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))> |
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))> |
#<alt (* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))> |
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 (pow b 2))> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (* a (+ 4 a)) |
| 0.0ms | a | @ | 0 | (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
| 0.0ms | b | @ | 0 | (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
| 0.0ms | b | @ | inf | (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
| 0.0ms | a | @ | inf | (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
| 1× | batch-egg-rewrite |
| 8 018× | accelerator-lowering-fma.f32 |
| 8 018× | accelerator-lowering-fma.f64 |
| 4 908× | /-lowering-/.f32 |
| 4 908× | /-lowering-/.f64 |
| 4 718× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 289 |
| 1 | 257 | 189 |
| 2 | 2447 | 189 |
| 0 | 9625 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) |
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) 1) |
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (* b b))) |
(+ (* a a) (* b b)) |
(+ (* 4 (* b b)) -1) |
(* b b) |
(+ (* a (* a (* a (+ 4 a)))) -1) |
(* a (* a (+ 4 a))) |
(+ 4 a) |
(* a (+ 4 a)) |
(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* b (* b 4)) -1)) |
(+ (* b (* b 4)) -1) |
(/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) |
(- (* a (+ a 4)) (+ (* b (* b 2)) 4)) |
(+ (* a (/ (* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) (- (* a (+ a 4)) (+ (* b (* b 2)) 4)))) -1) |
(* (* (+ (* a (+ a 4)) (+ (* b (* b 2)) 4)) (- (* a (+ a 4)) (+ (* b (* b 2)) 4))) a) |
(/ 1 (+ (* a a) (* b b))) |
(* 4 (* b b)) |
(* b 4) |
| Outputs |
|---|
(+.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b)) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b b (*.f64 a a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 a (+.f64 a #s(literal 4 binary64))))) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 a (+.f64 a #s(literal 4 binary64)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 a (+.f64 a #s(literal 4 binary64)))))))) (/.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a (+.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (*.f64 a (+.f64 a #s(literal 4 binary64))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a)))))) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64))) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b #s(literal 4 binary64)) b) |
(*.f64 b #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) b) |
| 1× | egg-herbie |
| 11 776× | accelerator-lowering-fma.f32 |
| 11 776× | accelerator-lowering-fma.f64 |
| 4 462× | *-lowering-*.f32 |
| 4 462× | *-lowering-*.f64 |
| 3 078× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 5081 |
| 1 | 1161 | 4903 |
| 2 | 3646 | 4790 |
| 3 | 7319 | 4766 |
| 0 | 8110 | 4471 |
| 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))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(pow a 4) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 2) |
(+ (pow 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)))) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* 4 (pow b 2)) 1) |
(- (* 4 (pow b 2)) 1) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (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 b 2) |
-1 |
(- (* 4 (pow a 3)) 1) |
(- (* (pow a 3) (+ 4 a)) 1) |
(- (* (pow a 3) (+ 4 a)) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a)))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 a)) |
(* (pow a 2) (+ 4 a)) |
(* (pow a 2) (+ 4 a)) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
4 |
(+ 4 a) |
(+ 4 a) |
(+ 4 a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* 4 a) |
(* a (+ 4 a)) |
(* a (+ 4 a)) |
(* a (+ 4 a)) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* 4 (pow b 2)) 1) |
(- (* 4 (pow b 2)) 1) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(* a (+ 4 (* a (+ 4 a)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(* -1 (+ 4 (* 2 (pow b 2)))) |
(- (* 4 a) (+ 4 (* 2 (pow b 2)))) |
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2)))) |
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a))))) |
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)))) |
(- (* a (+ 4 a)) 4) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(* -2 (pow b 2)) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(* -2 (pow b 2)) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
-1 |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
(* -1 (* a (pow (+ 4 (* 2 (pow b 2))) 2))) |
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (+ 4 (* 2 (pow b 2)))))))) |
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2)))))))))) |
(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (+ (* 2 (pow b 2)) (* 8 a)))))))))) |
(pow a 5) |
(* (pow a 5) (+ 1 (* 8 (/ 1 a)))) |
(* (pow a 5) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2))))))) |
(* (pow a 5) (+ 1 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2))))))))) |
(pow a 5) |
(* (pow a 5) (+ 1 (* 8 (/ 1 a)))) |
(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* 2 (/ (pow b 2) a)) (* 20 (/ 1 a))))) a)) 1))) |
(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (* -1 (/ (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -1 (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))) (* 4 (/ (+ 4 (* 2 (pow b 2))) a)))) a))) a)) 1))) |
(* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) |
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))) |
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))) |
(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))) |
(* -4 (* a (pow b 4))) |
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))) |
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
(* -4 (* a (pow b 4))) |
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))) |
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
(/ 1 (pow b 2)) |
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(/ 1 (pow a 2)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ 1 (pow a 2)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/ 1 (pow a 2)) |
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 (pow b 2)) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
| 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 (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.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 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #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))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.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 (* 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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(- (pow a 4) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #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 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 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))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(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 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.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)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 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 3)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (* (pow a 3) (+ 4 a)) 1) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a) #s(literal -1 binary64)) |
(- (* (pow a 3) (+ 4 a)) 1) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 4 binary64) a) #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 (* 4 (/ 1 a))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 a))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) 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 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal -4 binary64)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (/ 1 (pow a 3)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) #s(literal -4 binary64)) a))) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 4 a)) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 2) (+ 4 a)) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 2) (+ 4 a)) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
4 |
#s(literal 4 binary64) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 a)) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* a (+ 4 a)) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* a (+ 4 a)) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.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 (* 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 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(- (pow a 4) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (fma.f64 (*.f64 b b) (fma.f64 b b #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 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(fma.f64 a (*.f64 a a) (fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (*.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(fma.f64 a (*.f64 a a) (fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (*.f64 #s(literal 4 binary64) a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) #s(literal 4 binary64))) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) #s(literal 4 binary64))) a)))) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* a (+ 4 a))))) |
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(* 2 (* a (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* 2 (* a (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b b))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* a (+ 4 a)))) (pow b 2)))) |
(*.f64 (*.f64 b b) (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b))))) |
(* -1 (+ 4 (* 2 (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) |
(- (* 4 a) (+ 4 (* 2 (pow b 2)))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2)))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(- (* a (+ 4 a)) (+ 4 (* 2 (pow b 2)))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a))))) |
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a))) (*.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (* 4 (/ 1 a))))) |
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a))) (*.f64 #s(literal 4 binary64) a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) #s(literal -4 binary64))) a))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) #s(literal -4 binary64))) a))) |
(- (* a (+ 4 a)) 4) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(- (+ (* -2 (pow b 2)) (* a (+ 4 a))) 4) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64))) |
(* -2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -2 binary64)) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* -2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -2 binary64)) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* (pow b 2) (- (/ (* a (+ 4 a)) (pow b 2)) (+ 2 (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* (pow a 2) (+ 4 (* 2 (pow b 2)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (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 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 (/ 1 a)) (/ 4 (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 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (/ 1 (pow a 4)))) |
(*.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 #s(literal 4 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 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 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (- (+ 4 (* 2 (pow b 2))) (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a))) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
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(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* a (+ 4 a))))) 1) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) b) |
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(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2))) (/ 1 (pow b 2)))) |
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(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) b) |
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(*.f64 (*.f64 b b) (fma.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) |
(* -1 (* a (pow (+ 4 (* 2 (pow b 2))) 2))) |
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(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (+ 4 (* 2 (pow b 2)))))))) |
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(* a (+ (* -1 (pow (+ 4 (* 2 (pow b 2))) 2)) (* a (+ (* -4 (+ 4 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* a (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (+ (* 2 (pow b 2)) (* 8 a)))))))))) |
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(pow a 5) |
(pow.f64 a #s(literal 5 binary64)) |
(* (pow a 5) (+ 1 (* 8 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) a))) |
(* (pow a 5) (+ 1 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2))))))) |
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(* (pow a 5) (+ 1 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) (pow a 3))) (+ (* 8 (/ 1 a)) (/ 20 (pow a 2))))))))) |
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(pow a 5) |
(pow.f64 a #s(literal 5 binary64)) |
(* (pow a 5) (+ 1 (* 8 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) a))) |
(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (+ (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* 2 (/ (pow b 2) a)) (* 20 (/ 1 a))))) a)) 1))) |
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(* -1 (* (pow a 5) (- (* -1 (/ (+ 8 (* -1 (/ (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -1 (+ 20 (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 2 (pow b 2))))) (* 4 (/ (+ 4 (* 2 (pow b 2))) a)))) a))) a)) 1))) |
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(* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) |
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(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* a (* (pow b 2) (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))))) |
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(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))) |
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(+ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (* (pow b 2) (+ (* -4 (* a (pow b 2))) (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4))))))) |
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(* -4 (* a (pow b 4))) |
(*.f64 b (*.f64 b (*.f64 (*.f64 a (*.f64 b b)) #s(literal -4 binary64)))) |
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))) |
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(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
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(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
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(* -4 (* a (pow b 4))) |
(*.f64 b (*.f64 b (*.f64 (*.f64 a (*.f64 b b)) #s(literal -4 binary64)))) |
(* (pow b 4) (+ (* -4 a) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2)))) |
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(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
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(* (pow b 4) (+ (* -4 a) (+ (/ (* a (* (+ 4 (* a (+ 4 a))) (- (* a (+ 4 a)) 4))) (pow b 4)) (/ (* a (+ (* -2 (+ 4 (* a (+ 4 a)))) (* 2 (- (* a (+ 4 a)) 4)))) (pow b 2))))) |
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(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)) |
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 b (/.f64 b (pow.f64 a #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 b #s(literal 4 binary64)) |
Compiled 71 173 to 3 740 computations (94.7% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 689 | 9 | 1 698 |
| Fresh | 4 | 9 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 696 | 22 | 1 718 |
| Status | Accuracy | Program |
|---|---|---|
| 13.7% | (fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64)) | |
| 72.3% | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| 98.4% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) | |
| 98.7% | (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| 40.8% | (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) #s(literal -1 binary64)) | |
| 41.3% | (fma.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) | |
| 65.0% | (fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| ✓ | 64.6% | (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
| 39.3% | (fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) | |
| 65.7% | (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| ✓ | 65.1% | (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
| ✓ | 52.0% | (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
| 32.6% | (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) | |
| 72.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) | |
| 82.4% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) | |
| 30.4% | (-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| 53.1% | (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) | |
| 65.7% | (-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 48.6% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| 28.6% | (*.f64 b (*.f64 b #s(literal 4 binary64))) | |
| 41.4% | (*.f64 a (*.f64 a (*.f64 a a))) | |
| ✓ | 24.9% | #s(literal -1 binary64) |
Compiled 1 740 to 430 computations (75.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 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 (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) |
(fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b b)) a) (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 a (/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 a (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.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 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
5 calls:
| 14.0ms | b |
| 12.0ms | (+.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 12.0ms | a |
| 11.0ms | (*.f64 b b) |
| 10.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | a |
| 98.7% | 1 | b |
| 98.7% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 98.7% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.7% | 1 | (*.f64 b b) |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 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 (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) |
(fma.f64 a (/.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a a) #s(literal 64 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 16 binary64))) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
3 calls:
| 7.0ms | b |
| 7.0ms | a |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | a |
| 98.7% | 1 | b |
| 98.7% | 1 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 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 (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
3 calls:
| 6.0ms | b |
| 6.0ms | a |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | a |
| 98.4% | 1 | b |
| 98.4% | 1 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
3 calls:
| 32.0ms | b |
| 5.0ms | a |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | a |
| 97.4% | 2 | b |
| 97.4% | 2 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | b |
| 96.7% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
2 calls:
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | b |
| 96.2% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 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)) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
3 calls:
| 3.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 4 | a |
| 76.2% | 3 | b |
| 74.6% | 3 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.2% | 3 | a |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
3 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (*.f64 b b) |
| 52.0% | 1 | b |
| 52.0% | 1 | a |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
| Outputs |
|---|
#s(literal -1 binary64) |
(*.f64 b (*.f64 b #s(literal 4 binary64))) |
2 calls:
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.4% | 3 | a |
| 51.9% | 2 | b |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
2 calls:
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.9% | 1 | a |
| 24.9% | 1 | b |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3936331793434052e+23 | 4.2765197385572554e+27 |
Compiled 34 to 23 computations (32.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3936331793434052e+23 | 4.2765197385572554e+27 |
Compiled 34 to 23 computations (32.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3936331793434052e+23 | 4.2765197385572554e+27 |
Compiled 34 to 23 computations (32.4% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7.532928287857835 | 19981179.719976272 |
| 17.0ms | -4.233335771489744e-6 | -1.0756763264900714e-10 |
| 15.0ms | -1.917255553698932e+54 | -2.375957988554988e+51 |
| 36.0ms | 400× | 0 | valid |
Compiled 519 to 340 computations (34.5% saved)
ival-mult: 12.0ms (46.4% of total)ival-add: 6.0ms (23.2% of total)ival-sub: 3.0ms (11.6% of total)ival-pow2: 3.0ms (11.6% 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 |
|---|---|---|
| 17.0ms | 7.532928287857835 | 19981179.719976272 |
| 17.0ms | -1.1912498574888922e+20 | -59621705069614.336 |
| 25.0ms | 288× | 0 | valid |
Compiled 378 to 257 computations (32% saved)
ival-mult: 9.0ms (49.4% of total)ival-add: 4.0ms (22% of total)ival-sub: 2.0ms (11% of total)ival-pow2: 2.0ms (11% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.07934374026333388 | 125430108.27822608 |
| 13.0ms | 144× | 0 | valid |
Compiled 144 to 113 computations (21.5% saved)
ival-mult: 4.0ms (42.4% of total)ival-add: 2.0ms (21.2% of total)ival-sub: 1.0ms (10.6% of total)ival-pow2: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 202 |
| 1 | 74 | 202 |
| 2 | 77 | 202 |
| 3 | 82 | 202 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 a #s(literal -2850000000000000113602503300422227023296575087575040 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal -4722366482869645/1180591620717411303424 binary64)) (*.f64 b (*.f64 b (*.f64 b b))) (if (<=.f64 a #s(literal 7400000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(if (<=.f64 a #s(literal -1450000000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 12000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 (*.f64 b b) #s(literal 199999999999999983222784 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) a #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 a #s(literal -2850000000000000113602503300422227023296575087575040 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal -4722366482869645/1180591620717411303424 binary64)) (*.f64 b (*.f64 b (*.f64 b b))) (if (<=.f64 a #s(literal 7400000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))) |
(if (<=.f64 a #s(literal -1450000000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 12000 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(if (<=.f64 b #s(literal 1080863910568919/2251799813685248 binary64)) #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
| 23 442× | accelerator-lowering-fma.f32 |
| 23 442× | accelerator-lowering-fma.f64 |
| 13 714× | accelerator-lowering-fma.f32 |
| 13 714× | accelerator-lowering-fma.f64 |
| 11 776× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 357 |
| 1 | 381 | 335 |
| 2 | 3826 | 335 |
| 0 | 11688 | 288 |
| 0 | 352 | 5081 |
| 1 | 1161 | 4903 |
| 2 | 3646 | 4790 |
| 3 | 7319 | 4766 |
| 0 | 8110 | 4471 |
| 0 | 441 | 6092 |
| 1 | 1441 | 5873 |
| 2 | 4985 | 5684 |
| 0 | 8304 | 5273 |
| 0 | 419 | 7649 |
| 1 | 1372 | 7328 |
| 2 | 4853 | 6934 |
| 0 | 8315 | 6288 |
| 0 | 175 | 1704 |
| 1 | 565 | 1636 |
| 2 | 1710 | 1594 |
| 3 | 5151 | 1544 |
| 0 | 8218 | 1379 |
| 0 | 18 | 71 |
| 1 | 116 | 71 |
| 2 | 1063 | 71 |
| 0 | 8430 | 57 |
| 0 | 37 | 236 |
| 1 | 274 | 218 |
| 2 | 2672 | 218 |
| 0 | 8562 | 190 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 707 to 334 computations (52.8% saved)
(abs b)
Compiled 586 to 194 computations (66.9% saved)
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